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Homework Help: I need some help with fibonacci numbers.

  1. Mar 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Proof by induction of the following: f(m+k) = f(m-1)* f(k) + f(m) * f(k+1)

    2. Relevant equations

    f(k+1) = f(k) + f(k-1)

    3. The attempt at a solution

    The only way I can figure to get multiplication from addition was to square both sides, but then I really get out of my league.

    What is the relationship if you double a fib. #?
  2. jcsd
  3. Mar 9, 2010 #2


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    Staff Emeritus
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    Gold Member

    Do you know how to get induction started when you have two variables?
  4. Mar 9, 2010 #3
    No i think that is my first issue here
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