Convergence of a Series with Trig Functions

[HypeBeast23]

Homework Statement

*The sum from n = 1 to infinity* (cos(n*pi))^2/n*pi where n is the variable.

Homework Equations

All forms of convergence tests (i.e. Ratio Test, Integral Test, Alternating Series test etc.)

The Attempt at a Solution

I am having trouble figuring out which route to take to tackle this question. Any help would be appreciated!

 

[vela]

Try writing out the first few terms of the series. You'll see it's not as complicated as you think.