Find the sum of the following infinite geometric series of it exists. (2/5) + (12/25) + (72/125) + ...

"why are all the units multiples of 6 on top and 5 on bottom?"

This is the common ratio for the geometric sequence: r = 6/5.

For a geometric series to have a sum, r must be between - 1 and 1. Since 6/5 > 1, the series does not have an infinite sum.

I got 0.579968 that's my answer