Question

What is the formula of the sum of infinite GP?

Answer 1

A geometric progression is a sequence in which each consecutive element is obtained by multiplying the preceding element by a constant. The constant value is called a common ratio.

The formula of the sum of infinite GP is,

$S_{\infty }=\frac{a}{\left(1-r\right)}$ , $-1<r<1$

Where,

$a$ is the first term, and $r$ is the common ratio.