Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - 11.3 Geometric Sequences and Series - 11.3 Exercises: 54

Answer

$\dfrac {1000}{9}=111.111\ldots $

Work Step by Step

$r=\dfrac {1}{10}=\dfrac {10}{100}=\dfrac {1}{10}\Rightarrow S_{\infty }=\dfrac {a_{1}}{1-r}=\dfrac {100}{1-\dfrac {1}{10}}=\dfrac {1000}{9}=111.111\ldots $
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