The Fibonacci sequence is defined recursively by An+ 2) = An+ 1)+ An), n = 1, 2,., with (1) = 1, A2) = 1. Show that (a) fAn) = O(2"), (b) An) = N(1.5^). %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 23E
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The Fibonacci sequence is defined recursively
by
An + 2) = An+ 1)+ {n), n = 1, 2, ..,
with A1) = 1, A2) = 1. Show that
(a) fn) = 0(2),
(b) fn) = N(1.5").
Transcribed Image Text:The Fibonacci sequence is defined recursively by An + 2) = An+ 1)+ {n), n = 1, 2, .., with A1) = 1, A2) = 1. Show that (a) fn) = 0(2), (b) fn) = N(1.5").
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