Let Fn, n>=0 be fibonacci numbers which are defined by F0 = 0, F1 = 1 and for n>=2 Fn = Fn-1 + Fn-2. Prove by using stro

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answerhappygod
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Let Fn, n>=0 be fibonacci numbers which are defined by F0 = 0, F1 = 1 and for n>=2 Fn = Fn-1 + Fn-2. Prove by using stro

Post by answerhappygod »

Let Fn, n>=0 be fibonacci numbers which are defined by
F0 = 0, F1 = 1 and for n>=2
Fn = Fn-1 + Fn-2.
Prove by using strong mathematical induction that for
n>=0
Fn+10 = 11Fn+5 + Fn.
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