Question

The sum of the infinite GP
do
lt
1+1/2+1/4+......​

Answer 1

Given series of GP is

1, 1/2, 1/4, 1/8, ....................., to infinity.

Here, first term (a) = 1

and, common ratio (r) = 1/2

So,

S(∞) = a/(1 - r) = 1/(1 - 1/2) = 1/(1/2) = 2__"'

Hence, S(∞) = 2 __________(Ans.)

Hope it helps.

^_°