Ok, i got a couple of probs. how do i prove if a series is divergent or convergent? and what is the nth term test? can someone please explain it to me?

I don't know what the n'th term test is, but I suspect it's got something to do with the ratio lemma. To show a series is convergent, you need to show that the series of partial sums [math]s_n = \sum_{k=1}^n a_k[/math] is convergent. There are a series of results that can help you with this, though (i.e. comparison test, ratio lemma, etc).

Could you suggest any good sites or books?

Cheers

The one book I would suggest is Guide to Analysis, M. Hart. It's rather good and has lots of examples to get you started.