Question

What is the sum of this infinite geometric series 2 + 1 + 1/2 + 1/4 + 1/8...?

Answer 1

Sum `=4`

Explanation:

The common ratio with the range `-1`<`r`<`1`

the formula is `S=a_1/(1-r)`

We will use this formula because, `r=1/2`

Sum `S=a_1/(1-r)=2/(1-1/2)=4`

God bless....I hope the explanation is useful...