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: 96


$\displaystyle \sum_{i=1}^{∞}\frac{2}{10^i}=\frac{2}{9}$

Work Step by Step

$\displaystyle \sum_{i=1}^{∞}\frac{2}{10^i}=\frac{2}{10}+\frac{2}{100}+\frac{2}{1000}+\frac{2}{10000}+...=0.2+0.02+0.002+0.0002+...=0.2222...=\frac{2}{9}$
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