Question

How do you find the sum of the infinite geometric series 7+6+(36/7)+(216/49)+...?

Answer 1

If the common ratio is `<1`, then the geometric series will converge

Explanation:

For this problem, the common ratio (r) `=6/7` which is `<1`

geometric sum = (first term) `/ (1-r)`

geometric sum `=7/(1-6/7)=49`

hope that helped