Answer with explanation:
The given series is:
[tex]\Rightarrow 3+\frac{3}{5}+\frac{3}{25}+\frac{3}{125}+\frac{3}{625}+.........\\\\\Rightarrow 3+\frac{3}{5}+\frac{3}{5^2}+\frac{3}{5^3}+\frac{3}{5^4}+.........[/tex]
This is a Geometric Expression because the ratio of next term to Previous term is Constant for any two consecutive term in the series which is equal to [tex]=\frac{\frac{3}{5}}{3}\\\\=\frac{1}{5}[/tex]
In Summation Notation
[tex]\sum_{k=1}^{k=\infty} \frac{3}{5^{k-1}}[/tex]
