# How do you find the indicated term of each arithmetic sequence #a_1=12# d=-7, n=22?

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To find the indicated term of an arithmetic sequence given the first term ( a_1 = 12 ), the common difference ( d = -7 ), and the term number ( n = 22 ), you use the formula:

[ a_n = a_1 + (n - 1) \cdot d ]

Substitute the given values:

[ a_{22} = 12 + (22 - 1) \cdot (-7) ]

[ a_{22} = 12 + 21 \cdot (-7) ]

[ a_{22} = 12 - 147 ]

[ a_{22} = -135 ]

So, the 22nd term of the arithmetic sequence is ( a_{22} = -135 ).

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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.

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