# Covergent and Divergent Sequences - Real Analysis

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• October 21st 2008, 07:10 PM
kathrynmath
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?
• October 21st 2008, 08:57 PM
batman
Take for example the sequences n and -n.
• October 21st 2008, 08:59 PM
terr13
What about $\sum 1/n$and $\sum -1/n$?