College Algebra (6th Edition)

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

Chapter 8 - Summary, Review, and Test - Test - Page 791: 4



Work Step by Step

The sum of a geometric sequence until $n$ can be obtained by the formula $S_n=a_1(\frac{1-r^n}{1-r})$ where $a_1=-2$ is the first term and $r=-2$ is the common ratio. Hence here the sum: $S_{15}=-2(\frac{1-(-2)^{15}}{1-(-2)})=-21486$
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