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

The sum of this geometric series is 720.

Explanation:

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

`s = (a_1)/(1 - r)\\`

Applying the data from the problem, we have:

`s = (180)/(1 - (3)/(4))\\\\s = (180)/((4 - 3)/(4))\\\\s = (180)/((1)/(4))\\\\s = 180*4 = 720`

The sum of this geometric series is 720.