Best way to approach sequences and series

[kylera]

I get the impression that unlike solving derivatives and integrals, sequences and series do not have a lot of...should I say...find-the-equation-and-solve-your-way element -- sorry if that comes out wrong. Maybe it seems to be less "rote math" and because of this, I'm having a hard time trying to grasp it. Can anyone provide some tips?

 

[quasar987]

Well, it's not that different from solving derivatives and integrals: you have a bunch of tests for determining when a series converge. Just apply every test you know on after the other, like you would apply the different integration techniques to solve an integral.