(6) Find a close formula of ƒ, using the results of the diagonalization above. Must show all work!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 1E
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Fibonacci Numbers:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
Define the Fibonacci sequence {f} by a recurrence relation ( 2nd order linear difference
equation):
Fibonacci matrix:
fn+2=fn+l+fn, n≥0, fo=0, f₁=1.
F-3
Transcribed Image Text:Fibonacci Numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... Define the Fibonacci sequence {f} by a recurrence relation ( 2nd order linear difference equation): Fibonacci matrix: fn+2=fn+l+fn, n≥0, fo=0, f₁=1. F-3
(6) Find a close formula of f, using the results of the diagonalization above. Must show all
work!
Transcribed Image Text:(6) Find a close formula of f, using the results of the diagonalization above. Must show all work!
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