Question

How do you find the sum of the infinite geometric series a1=26 and r=1/2?

Answer 1

`52`

Explanation:

Sum of infinite geometric series is given by
`S=a_1/(1-r)`
Where `S` is the sum of the series `a_1` is the first term and `r` is the common ration.
`implies S=26/(1-1/2)=52/(2-1)=52/1=52`
`implies S=52` Hence the sum of the given infinite geometric series is `52`.