Thread: Covergent and Divergent Sequences - Real Analysis

So I want 2 sequences a and b that are not convergent, but a+b is a convergent sequence.
I can not seem to get this one. I've been thinking about it too long and my brain is fried.
Like could I use (-1)^n for a. My problem is finding a b so that the two added together will converge. Can someone please help me and give me some pointers?

Take for example the sequences n and -n.

What about and ?