# Thread: How do i prove a series converges?

1. ## How do i prove a series converges?

What method do i use for this?

sum of 1 to infinity

(7^n) + n

thanks

2. $\sum\limits_{n = 1}^\infty {\left( {7^n + n} \right)}$ diverges.

3. You don't. It doesn't converge because $7^n+ n$ does not go to 0 as n goes to infinity.