# Fibonacci sequence empirical formula

1. Apr 28, 2012

### DavidGreen

1. The problem statement, all variables and given/known data
Research the Fibonacci sequence and hence find the empirical or explicit formula for generating the nth term of the fibonacci sequence. Use this formula to show that it does indeed produce the Fibonacci numbers for n = 1 to 5. You may not use calculators, expansions of phin should be done by expanding and simplifying in surd form.

2. Relevant equations
Phin-(1- Phi)n / $\sqrt{}5$

Phi = 1+$\sqrt{}5$ / 2

3. The attempt at a solution

For N = 2
substitute A into B
Answers is wrong when expanded and simplified
Any help would be greatly appreciated
Cheers.

2. Apr 28, 2012

### Dick

It should work fine. You'll have to explain what's going wrong.