Absolute Convergence: Determining Convergence of (-1)^k*2^n/n^(n/2)

[kj13529]

I just want to verify my answers. I am asked to determine whether the sum converges absolutely, conditionally or diverges. ((-1)^k)*2^n)/n^(n/2). I got that it was conditionally convergent, is that correct?

 

[morphism]

Why did you get that?