Question

How do you find the sum of the infinite geometric series 7 + 28/5 + 112/25 + 448/125?

Answer 1

Common ratio `=4/5<1`
Since the ratio is less than 1 , the series converges and the sum exists.

Explanation:

Infinite Sum `=a_1/(1-r)`

Infinite Sum `=7/(1-4/5)=35`

hope that helped