Algebra and Trigonometry 10th Edition

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

Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 778: 95


$\displaystyle \sum_{k=1}^{∞}7(\frac{1}{10})^k=\frac{7}{9}$

Work Step by Step

$\displaystyle \sum_{k=1}^{∞}7(\frac{1}{10})^k=\frac{7}{10}+\frac{7}{100}+\frac{7}{1000}+\frac{7}{10000}+...=0.7+0.07+0.007+0.0007+...=0.7777...=\frac{7}{9}$
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