Question

Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ? Question 9 options: A) 240 B) 360 C) 135 D) 720

Answer 1

Answer:

The sum of this geometric series is 720.

Step-by-step explanation:

The sum of a infinite geometric series is given by the following formula:

$s = \frac{a_1}{1 - r}$

Applying the data from the problem, we have:

$s = \frac{180}{1 - \frac{3}{4}}\\\\s = \frac{180}{\frac{4 - 3}{4}}\\\\s = \frac{180}{\frac{1}{4}}\\\\s = 180*4 = 720$

The sum of this geometric series is 720.