Let F denote the kth number in the Fibonacci sequence. (a) Prove that F2+1 − F²? = Fk−1Fk-2 - (b) Prove that Vn € Z such that n ≥ 0, Fên is a multiple of 3.
Let F denote the kth number in the Fibonacci sequence. (a) Prove that F2+1 − F²? = Fk−1Fk-2 - (b) Prove that Vn € Z such that n ≥ 0, Fên is a multiple of 3.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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