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Math Help - Derive Binet's Formula

  1. #1
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    Derive Binet's Formula

    Hello! I need to derive Binet's Formula!

    I know how to do it for one of the definitions of the Fibonacci sequence: F(1)=1, F(2)=1, F(n)= F(n-1)+ F(n-2), for all n > or = 3.

    However, for my assignment, I have to use an alternate definition: F(0)=1, F(1)=1, F(n)= F(n-1)+ F(n-2) for all n > or = 2.

    I tried using the same method for the 1st derivation by forming a linear combination and solving for the constants, but I ended up with a formula that doesn't work for n.

    Any input would help!
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  2. #2
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    Re: Derive Binet's Formula

    Show your steps, and we can see if we spot something amiss.
    Thanks from topsquark and emakarov
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