Question

The sum of series $3,\frac{3}{5},\frac{3}{25},.....$

Answer 1

Given series $3,\frac{3}{5},\frac{3}{25}...$

Is in GP with $a=3,r=\frac{1}{5}$

$S_{\infty }=\frac{3}{1-\frac{1}{5}}=\frac{15}{4}$