Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.1 - Sequences and Summation Notation - Exercise Set - Page 1049: 57


$ a \sum_{k=0}^{12} r^{k} $ (Other answers are possible.)

Work Step by Step

In order to set up the summation notation, we must calculate that value which keeps constantly changing. That value will be designated as the $i$ term. The remaining terms would remain constant in the summation notation. Thus, we get the summation notation: $ a+ar+ar^2+.....+ar^{12}=\sum_{0}^{12} ar^{i}=a \sum_{k=0}^{12} r^{k} $
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