Article:Fibonacci Numbers

Problem:
In the proof for the theorem that fibonacci numbers are periodic modulo p, it mentions that F_0 is part of the pre period. but I see no reason for it to be in the pre period as the fibonacci numbers are periodic including it and the proof involving p^2+1 fibonacci numbers don't use the information of what the starting number was.

Hence I request you to include F_0 in the new revision. and also hinting the fact that the proof is sufficient because of the property that the next fibonacci number would depend on the sum of the pair would be great as well!

Thank You!