Let Fn be the n-th Fibbonacci number. That is Show that F is given by 72 Fn = F₁ = 1, F₂ = 1, Fn = Fn-1 + Fn-2 - 1 √5 (a" - b") where a - 1+√5 2 and b - 1- √5 2
Let Fn be the n-th Fibbonacci number. That is Show that F is given by 72 Fn = F₁ = 1, F₂ = 1, Fn = Fn-1 + Fn-2 - 1 √5 (a" - b") where a - 1+√5 2 and b - 1- √5 2
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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Transcribed Image Text:Problem 1 Let Fn be the n-th Fibbonacci number. That is
Show that Fn is given by
Fn
F₁ = 1, F₂ = 1, Fn = Fn-1 + Fn-2
1
√5
(an-b") where a =
1+√5
and b
1- √5
2
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