Let F, denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1+ F, for n > 1). Use %3D induction to prove that Vn > 1: F+1 - Fn+1Fn – F = (-1)"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
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Let F, denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1+ F, for n > 1). Use
induction to prove that Vn > 1:
F1 - Fn+1Fn – F = (-1)"
Transcribed Image Text:Let F, denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1+ F, for n > 1). Use induction to prove that Vn > 1: F1 - Fn+1Fn – F = (-1)"
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