Question

What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3?

Answer 1

The sun of the infinite geometric series is 468

Explanation:

The sum of an infinite geometric series is given by;

`S_(\infty) = (a)/(1 - r)`

where a=156 is the first term and

`r = (2)/(3)`

is the common ratio.

We substitute these values into the above formula to get:

`S_(\infty) = (156)/(1 - (2)/(3) )`

`S_(\infty) = (156)/( (1)/(3) )`

`S_(\infty) =156 * 3`

`S_(\infty) = 468`