#### Answer

$\dfrac{5}{3}$

#### Work Step by Step

Here, $a=1, r=\dfrac{2}{5}$; The common ratio is $|\dfrac{2}{5}| \lt 1$; so the series converges.
The sum of a geometric series can be found as:
$S=\dfrac{a}{1-r}=\dfrac{1}{1-\dfrac{2}{5}}=\dfrac{5}{3}$

Published by
Pearson

ISBN 10:
0321999584

ISBN 13:
978-0-32199-958-0

$\dfrac{5}{3}$

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