Thank you for reporting, we will resolve it shortly
Q.
The infinite sum $\displaystyle\sum_{n=1}^{\infty}\left(\frac{5^n+3^n}{5^n}\right)$ is equal to:
Progressions
Solution:
(i) $\displaystyle\sum_{n=1}^{\infty}\left(1+\left(\frac{3}{5}\right)^n\right)=1+\frac{3}{5}+\left(\frac{3}{5}\right)^2+\ldots \infty$
(ii) $S_{\infty}=\frac{a}{1-r}$, where $a$ is the first term and $r$ is the common ratio.