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Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂ = 1, and Fn+2= Fn+1 + Fn. - Fn = (1+√5)" (1-√5)" 2√5 , n = 1,2,....

Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂ = 1, and Fn+2= Fn+1 + Fn. - Fn = (1+√5)" (1-√5)" 2√5 , n = 1,2,....

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn = (1+√5)-(1-√√5)" 2√5 , n = 1,2,....
Transcribed Image Text:Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn = (1+√5)-(1-√√5)" 2√5 , n = 1,2,....
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