Answer
$${S_\infty } = 36$$
Work Step by Step
$$\eqalign{
& 24 + 8 + \frac{8}{3} + \frac{8}{9} + \cdots \cr
& \frac{8}{{24}} = \frac{1}{3},\,\,\,\,\frac{{8/3}}{8} = \frac{1}{3} \cr
& {\text{This is a geometric series with }}{a_1} = 24{\text{ and }}r = \frac{1}{3} \cr
& {\text{The sum of the series is }}{S_\infty } = \frac{{{a_1}}}{{1 - r}} \cr
& {S_\infty } = \frac{{24}}{{1 - 1/3}} \cr
& {\text{Simplifying}} \cr
& {S_\infty } = 36 \cr} $$
