Find the sum of the infinite geometric series 1 15 125 11

Find the sum of the infinite geometric series 1 + 1/5 + 1/25 + 1/125 + ...Round the answer to 3 decimal places if necessary.

Solution

Geometric series infinite sum = a / (1 - r)
where a = first term
and r = common ratio

Here first term, a = 1
And common ratio, r = 1/5

So, we have :
1 / (1 - 1/5)

1 / (4/5)

1 * (5/4)

5/4 ----> ANSWER