Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 68


$\sum_{k=0}^{n-1} ar^k$

Work Step by Step

We are given the sum: $a+ar+ar^2+...+ar^{n-1}$ The general term of the sum is $ar^k$. The number of terms is $n$, so the index $k$ goes from 0 to $n-1$. We write the sum: $a+ar+ar^2+...+ar^{n-1}=\sum_{k=0}^{n-1} ar^k$
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