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: 59



Work Step by Step

$\displaystyle \sum_{i=0}^{∞}(\frac{7}{8})^i=(\frac{7}{8})^0+(\frac{7}{8})^1+(\frac{7}{8})^2+...$ $a_1=(\frac{7}{8})^0=1$ $r=\frac{a_2}{a_1}=\frac{(\frac{7}{8})^1}{(\frac{7}{8})^0}=\frac{7}{8}$ $S=\frac{a_1}{1-r}=\frac{1}{1-\frac{7}{8}}=\frac{1}{\frac{1}{8}}=8$
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