# Math Help - Limit of ratio of Non-consecutive terms of Fibonacci Sequence

1. ## Limit of ratio of Non-consecutive terms of Fibonacci Sequence

Hi folks,
If anyone can help with this 'd be delighted. I can prove that the limit of the ratio of consecutive terms of the FS is PHI. However, how do I go about proving that the limit of NON-consecutive terms is phi to the power of t eg
Lim n--->inf (Un/Un+t)=Phi^t
Any help would be appreciated,
Thanks

2. ## Re: Limit of ratio of Non-consecutive terms of Fibonacci Sequence

Hi,
I've attached a proof.