Thread: Establishing Divergence/Convrgence

Establish either the convergence or the divergence of the following sequence:

Xsubn = ((-1)^n * n) / (n + 1)

My prof. didn't really talk much about the best way to tackle an alternating sequence. I'm not really sure where to go with this, so any help would be much appreciated.

Originally Posted by jkru

Establish either the convergence or the divergence of the following sequence:

Xsubn = ((-1)^n * n) / (n + 1)

My prof. didn't really talk much about the best way to tackle an alternating sequence. I'm not really sure where to go with this, so any help would be much appreciated.

This sequence does not converge. Because the even terms converge to 1 and odd terms converge to -1.