My professor really threw a curve ball at me the other day with this problem, and unfortuneately, I have no idea where to begin. Any help would be greatly appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

In the following problem, all the n's are subdomains of the leading coefficent, along with the f#. f(sub 0), f(sub 1), etc..f(sub n+2), f(sub n+1), f(sub n)...a(sub n)

Let fn be the Fibonacci sequence, i.e.:

{f0 = f1 = 1

{fn+2 = fn+1 + fn, for every n >= 0

Define now a new sequence, {an}, given by an = fn+1 / fn

(a) show that an+1 = 1 + (1/an)

(b) assuming that {an}infinity n=1 is convergent, find lim(n->inf) an.

Please offer any kind of assistance you can. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fibonacci Sequence so confused

**Physics Forums | Science Articles, Homework Help, Discussion**