Question

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

Answer 1

Given :

An infinite series :

$a_1=26$

$r=\dfrac{1}{2}$

To Find :

The sum of the infinite series .

Solution :

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

$S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52$

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .