數學問題 Prove Induction fibanacci sequence?

2015-11-04 9:59 pm

回答 (1)

2015-11-04 11:22 pm
✔ 最佳答案
(Fn Fn+2 - F²n+1) + (Fn-1 Fn+1 - F²n)
= (Fn Fn+2 - F²n) + (Fn-1 Fn+1 - F²n+1)
= Fn (Fn+2 - Fn) + Fn+1 (Fn-1 - Fn+1)
= Fn (Fn+1) + Fn+1 (- Fn)
= 0


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