Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Review Exercises - Page 841: 60



Work Step by Step

$\displaystyle \sum_{i=0}^{∞}(0.5)^i=(0.5)^0+(0.5)^1+(0.5)^2+...$ $a_1=(0.5)^0=1$ $r=\frac{a_2}{a_1}=\frac{(0.5)^1}{(0.5)^0}=0.5$ $S=\frac{a_1}{1-r}=\frac{1}{1-0.5}=\frac{1}{0.5}=2$
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