#### 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 $

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

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

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