4.35. Let Fn be the nth Fibonacci number. Prove by induction that Σ F2 = F2n+1, n>0. i=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 52E
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4.35. Let Fn be the nth Fibonacci number. Prove by induction that
ก
Fai
i=0
Fki = Fn+1; n > 0.
Transcribed Image Text:4.35. Let Fn be the nth Fibonacci number. Prove by induction that ก Fai i=0 Fki = Fn+1; n > 0.
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