Question about a power series for a Calc 2 Project

Greetings all, I'm hoping someone can point me in the right direction for this question. I'd rather not have the answer as I'd like to figure it out myself, however it might not be something that can be answered without giving it away. Well, you'll see what I mean :)

I have a power series:

http://img.photobucket.com/albums/v2...c2Question.jpg

This is basically a representation of the number of rabbits born in month n (based off of the Fibonacci numbers). The question asks me to examine this series when n is very large, and it wants to know how many rabbits are born in month n compared to month n-1.

I'm stuck here, I'm not really sure where to start or how to treat this. If anyone could provide some guidance that would be great.