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Math Help - Fibonacci sequence

  1. #1
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    Fibonacci sequence

    Hi can anyone explain how i can get express Fn+3 in terms of Fn+2 and Fn to show that Fn+2 = 1/2(Fn+3 + Fn). Any help is much appreciated
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Fibonacci sequence

    I would begin with:

    (1) F_{n+2}=F_{n+1}+F_{n}

    (2) F_{n+3}=F_{n+2}+F_{n+1}

    Now, solve (2) for F_{n+1} and substitute into (1), then solve for F_{n+2}.
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    Re: Fibonacci sequence

    Thankyou so much.
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