Consider the Fibonacci numbers {F, = 1, F2 = 1, F3 = 2, F4 = 3, Fs = 5, F6 = 8,· ·}. Prove by induction that Fn+1 · Fn = F? i=1

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Consider the Fibonacci numbers {F = 1, F2 = 1, F3 = 2, F1 = 3, F; = 5, F6 = 8, · . }. Prove by induction that
Fn+1· Fn = > F?
i=1
Transcribed Image Text:Consider the Fibonacci numbers {F = 1, F2 = 1, F3 = 2, F1 = 3, F; = 5, F6 = 8, · . }. Prove by induction that Fn+1· Fn = > F? i=1
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