Question

What is the sum of this infinite geometric series please help

Answer 1

Option A is correct, i.e. Sum = 1.

Explanation:

Given is the infinite geometric series,
`\sum\limits^\infty_(i=1) {(0.5)^i}`

First term is, a = (0.5)¹ = 0.5

and the common ratio is, r = (0.5)²/(0.5)¹ = 0.5

We can find the sum of infinite geometric series using the formula as follows:-

Sum = a/(1-r)

Sum = 0.5/(1 - 0.5)

Sum = 0.5/0.5

Sum = 1

Hence, option A is correct, i.e. Sum = 1.