Question

How do you find the sum of the infinite geometric series 1+ 3/5+9/25+37/125+........?

Answer 1

Use the formula for the infinite sum only if the common ratio is less than 1.

Explanation:

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

Where, `a_1` is the first term and `r` is the common ratio .

Geometric Sum `=1/(1-3/5)= 2.5`

Hope that helped