Hey guys. This might not be quite the right place on the forum, but here goes. I have this assignment that I have almost completed, but I can't quite figure out the last bit. Could anyone give me a helping hand?
Prove that , and (This is the sequence of fibonacci numbers: 0, 1, 1, 2, 3, 5, 8,...).
Find the partial fraction decomposition of the rational function and use it to prove Binet's formula:
Alright, I have shown that and are simple poles of and I've found out that the partial fraction decomposition of is:
I just have no idea how to use that, to show (2) from (1). Can someone give me a clue?