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Fibonacci sequence empirical formula

  1. Apr 28, 2012 #1
    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 / [itex]\sqrt{}5[/itex]

    Phi = 1+[itex]\sqrt{}5[/itex] / 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. jcsd
  3. Apr 28, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

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