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## Homework Statement

Find the general term and test the nature(convergent/divergent) of:

1/3 + 2/15 + 2/35 + .....

## The Attempt at a Solution

If I simplify I get ,

1/3 + (1)(2)/(3)(5) + (1)(2)(3)/(3)(5)(7) +.............

I found that,

TERM(N) = TERM(N-1)((N)/(2N+1)

After this I am struck.