Find the sum to infinity of the series 14 1 4 , 18 1 8 , 116 1 16 ,..........

Find the sum to infinity of the series
$\frac{1}{4}$, $\frac{1}{8}$, $\frac{1}{16}$,..........

Answer Details

Sum to infinity
? = arn ? 1
= $\frac{a}{1}$ ? r
a = $\frac{1}{4}$
r = $\frac{1}{8}$ ÷ $\frac{1}{4}$
r = $\frac{1}{s}$ × $\frac{4}{1}$
= $\frac{1}{2}$
S = $\frac{1÷4}{1}$ ? $\frac{1}{2}$
= $\frac{1}{4}$ ÷ $\frac{1}{2}$
= $\frac{1}{4}$ × $\frac{2}{1}$
= $\frac{1}{2}$