Question

Find the sum of the infinite series, if it exists a1= 26,r=1/2

Answer 1

Given :

An infinite series :

`a_1=26`

`r=(1)/(2)`

To Find :

The sum of the infinite series .

Solution :

The sum of infinite series of G.P is given by :

`S=(a_1)/(1-r)\\\\S=(26)/((1)/(2))\\\\\\S=52`

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .