- #1

- 367

- 2

## Homework Statement

Find the sum of the series:

^{∞}

_{n=1}∑(6)/((2n-1)(2n+1))

## Homework Equations

## The Attempt at a Solution

S

_{1}=2

S

_{2}=2+(6/15)

S

_{3}=2+(6/15)+(6/35)

This is the part where I get a little confused. It looks like the denominator is getting bigger... So does it approach infinity and diverge?