Answer
$|r|=\frac{1}{10}<1$ Convergent
$S=\frac{8}{9}$
Work Step by Step
$0.\bar{8}=0.8888...=\Sigma \frac{8}{10^n}=\Sigma 8(\frac{1}{10})^{n-1}$
$|r|=\frac{1}{10}<1$ Convergent
$a=8$
$S=\frac{8}{9}$
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