College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.2 - Page 726: 78

Answer

Doesn't make sense.

Work Step by Step

A geometric sequence is where the ratio of consecutive terms is constant, which here applies, it is $2$ thus the sequence is geometric. The sum of the first $n$ terms of an arithmetic sequence can be obtained by the following formula: $\frac{n(a_1+a_n)}{2},$ where $a_1$ is the first term, $a_n$ is the nth term and $n$ is the number of terms. Thus the statement doesn't make sense, because that formula can be used to sum terms of an arithmetic sequence, but here we have a geometric sequence.
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