If (S\_n) stands for sum to n-terms of a G.P. with ‘a’ as th... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $S_n$ stands for sum to n-terms of a G.P. with ‘a’ as the first term and ‘r’ as the common ratio then $S_n : S_{2n}$ is

A

$r^n +1$

B

$\frac1{r^n +1}$

C

$r^n -1$

D

$\frac1{r^n -1}$

Answer

$\frac1{r^n +1}$

Explanation

Solution

The correct answer is Option (B) : $\frac1{r^n +1}$