Question

How do you find the sum of the infinite geometric series 4 + 3 + 9/4 + ...?

Answer 1

Sum of the infinite geometric series is `16`.

Explanation:

In this geometric series, firt term is `4` and common ratio is `3/4` as ratio between a term and its immediating preceding term is `3/4`.

As common ratio is less than `1`, the sum of infinite series would be `a/(1-r)`, where `a` is first term and commonb ratio is `r`.

Hence the sum of the infinite geometric series `4 + 3 + 9/4 + ...` is

`4/(1-3/4)=4/(1/4)=4xx4/1=16`