Find the sum of 2+4+6+8...+70. State if it's geometric or arithmetic?

Answer 1

This is an Arithmetic sequence.

Sum #=1260#

Here #d= 2# is the Common difference.
#a=2# is the First term.
#l=70# is the last term.
We know that #n_(th)# term of this sequence is given by #a_n# :-
#a_n =a+(n-1)d#
#rArr 70=2+(n-1)2#
#rArr 34=n-1#
#rArr n=35=#Total number of terms in the given arithmetic sequence.
#sum a_n = (n(a+l))/2#
#:.# Sum #=(35(2+70))/2=1260#
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Answer 2

The sum of the series (2 + 4 + 6 + 8 + \ldots + 70) is 1470. This series is arithmetic.

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Answer from HIX Tutor

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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