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

Question

asked Mar 25, 2019 183k views

1 Answer

Sujatha · Answer 1 · 2019-03-31T05:33:23+0000

Answer:

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:

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

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

$S_(\infty) =156 * 3$

$S_(\infty) = 468$