I'm learning some series tests in calculus and I can't completely figure this out. I know it's easier than i'm making it. Here's the question:
Determine whether the geometric series is divergent or convergent. If it is convergent, evaluate its limit. If it diverges state your answer as DIV.
I know that it's convergent. But i'm unsure of how to find the limit. Do I have to find the common ratio between them?
My teacher is saying I have to find the "$n$-th term" first. Which is just $(2/3)^n$