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

Answer:

The sun of the infinite geometric series is 468

Step-by-step explanation:

The sum of an infinite geometric series is given by;

$S_{\infty} = \frac{a}{1 - r}$

where a=156 is the first term and

$r = \frac{2}{3}$

is the common ratio.

We substitute these values into the above formula to get:

$S_{\infty} = \frac{156}{1 - \frac{2}{3} }$

$S_{\infty} = \frac{156}{ \frac{1}{3} }$

$S_{\infty} =156 \times 3$

$S_{\infty} = 468$