Let a₁ = a₁ = a₂ = 2 and an = an-1 + an-2 + an-3 for n > 3. Prove, using strong ao mathematical induction, that an < 2n+2.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 4E: Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij...
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Let a₁ = a₁ = a₂ = 2 and an = an−1 + An−2 + An-3 for n > 3. Prove, using strong
ao
mathematical
induction, that an < 2n+².
Transcribed Image Text:Let a₁ = a₁ = a₂ = 2 and an = an−1 + An−2 + An-3 for n > 3. Prove, using strong ao mathematical induction, that an < 2n+².
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