How do you find the sum of the arithmetic sequence having the data given #a_1=7#, d = - 3, n = 20?
The sum
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[ S_n = \frac{n}{2}(a_1 +The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum ofThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
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[ S = \frac{n}{2}(a_1 + a_n) ]
where:
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[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) isThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sumThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms, -The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 )The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) isThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first termThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence, The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( aThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th termThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given: The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) isThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 ) The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term ofThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( dThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequenceThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence, The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence, -The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First,The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, weThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we needThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )thThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (firstThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first termThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( dThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) usingThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formulaThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (commonThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th termThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of anThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmeticThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequenceThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (numberThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of termsThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
FirstThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First,The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, findThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)dThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-thThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th termThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
SubThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
SubstituteThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( aThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given valuesThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula forThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 +The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-thThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term ofThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmeticThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ aThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 +The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n -The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3)The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)dThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ aThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 +The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3)The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
NowThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substituteThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
NowThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ),The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now,The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), (The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substituteThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_nThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the valuesThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values ofThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of (The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ),The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( aThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), andThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) andThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) intoThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_nThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n )The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sumThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into theThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formulaThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ SThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ SThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \fracThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20}The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \fracThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50)The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ SThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50))The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43)The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20}The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) \The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \fracThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ SThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S =The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
ThereforeThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sumThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50)The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum ofThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) \The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of theThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmeticThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmetic sequenceThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[ SThe sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmetic sequence isThe sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[ S_{The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmetic sequence is -430The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[ S_{20}The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmetic sequence is -430.The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[ S_{20} =The sum ( S ) of an arithmetic sequence can be found using the formula:
[ S = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S ) is the sum of the sequence
- ( n ) is the number of terms
- ( a_1 ) is the first term
- ( a_n ) is the ( n )th term
Given:
- ( a_1 = 7 )
- ( d = -3 ) (common difference)
- ( n = 20 )
First, we need to find the ( n )th term ( a_n ) using the formula for the ( n )th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
Substitute the given values:
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute ( a_1 = 7 ), ( a_n = -50 ), and ( n = 20 ) into the sum formula:
[ S = \frac{20}{2}(7 - 50) ]
[ S = 10(-43) ]
[ S = -430 ]
Therefore, the sum of the arithmetic sequence is -430.The sum of an arithmetic sequence can be found using the formula:
[ S_n = \frac{n}{2}(a_1 + a_n) ]
where:
- ( S_n ) is the sum of the first ( n ) terms,
- ( a_1 ) is the first term of the sequence,
- ( a_n ) is the ( n )-th term of the sequence,
- ( n ) is the number of terms in the sequence.
Given: ( a_1 = 7 ) (first term) ( d = -3 ) (common difference) ( n = 20 ) (number of terms)
First, find the ( n )-th term ( a_n ) using the formula for the ( n )-th term of an arithmetic sequence:
[ a_n = a_1 + (n - 1)d ]
[ a_n = 7 + (20 - 1)(-3) ]
[ a_n = 7 + 19(-3) ]
[ a_n = 7 - 57 ]
[ a_n = -50 ]
Now, substitute the values of ( a_1 ) and ( a_n ) into the sum formula:
[ S_{20} = \frac{20}{2}(7 + (-50)) ]
[ S_{20} = \frac{20}{2}(7 - 50) ]
[ S_{20} = \frac{20}{2}(-43) ]
[ S_{20} = 10(-43) ]
[ S_{20} = -430 ]
Therefore, the sum of the arithmetic sequence is -430.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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