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Freya B.

asked • 04/12/16

Prove formula for sum of Fibonacci sequence numbers by mathematical induction.

We need to prove the following using proof by induction. I don't want the actual answer if you can avoid it, I just can't figure out how to do it because when I do it how my notes read I am supposed to it doesn't work.
Anyway, this is what we were given on the paper;
Knowing that:    Fn+1 = Fn + Fn-1     where  F1 = 1 and F2 = 1    , prove the following by mathematical induction:
 Σ   Fi2 = Fn × Fn+1           n≥1

1 Expert Answer


Arnold F. answered • 04/12/16

5 (53)

College Professor & Expert Tutor In Statistics and Calculus

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