Precalculus (6th Edition) Blitzer

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

Chapter 10 - Review Exercises - Page 1125: 45



Work Step by Step

The general formula to find the sum of a finite geometric sequence is given as: $ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$ Here, $ a_1=2$ and $ r=\dfrac{1}{4}$ Plug $ n=5$ $ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$ Now, $ S_{5}=\dfrac{2 \times [1-(\dfrac{1}{4})^5]}{1-\dfrac{1}{4}}=\frac{341}{128}=2.66$
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