Question

What is the sum of infinite series?

Answer 1

Sum of infinite series

Regular Series:

The sum of a number series which is an infinity series is infinity.

Ap series:

Case I: the common difference is less than zero

The sum of an infinite series of an AP is $-\infty$.

Case II: the common difference is greater than zero

The sum of an infinite series of an AP is $\infty$.

GP series:

The sum of infinite series when the common ratio lies in the interval $\left(-1,1\right)$ is

$S_{\infty }=\frac{a}{1-r}$

Where $a$ is the first term.