Answer
$|r|=0.001<1$ convergent
$S=1.534242$
Work Step by Step
$1.53\bar{43}=1.53424242...=1.53+\Sigma 0.0042(0.1)^{n-1}$
$|r|=0.001<1$ convergent
$a=0.0042$
$S=1.534242$
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