16) Consider the nonhomogeneous linear recurrence relation a=2a,-1+2º. an = n2" is a particular solution of this recurrence relation. Use Theorem 5 (on back page) to find all solutions of this recurrence relation. Then find a20 with the initial condition a = 2. A) 23,066,748 B) 23,068,672 C) 23,069,812 D) 23,067,584 E) 23,064,984

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 52EQ
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16) Consider the nonhomogeneous linear recurrence relation
a=2a,-1+2º. a₁ = n2" is a particular solution of
this recurrence relation. Use Theorem 5 (on back page)
to find all solutions of this recurrence relation. Then find
a20 with the initial condition a = 2.
A) 23,066,748
B) 23,068,672
C) 23,069,812
D) 23,067,584
E) 23,064,984
Transcribed Image Text:16) Consider the nonhomogeneous linear recurrence relation a=2a,-1+2º. a₁ = n2" is a particular solution of this recurrence relation. Use Theorem 5 (on back page) to find all solutions of this recurrence relation. Then find a20 with the initial condition a = 2. A) 23,066,748 B) 23,068,672 C) 23,069,812 D) 23,067,584 E) 23,064,984
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