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Consider the following linear non-homogeneous recurrence relation where go = 1, 91 = 3 and gn+1=7gn- 10gn–1 + 2n for n > 1. The reduced closed form of g, can be represented as gn =(Px p" + Q × q" + Rn+ S) where pand q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P,Q, R, S, A are all integers.

Consider the following linear non-homogeneous recurrence relation where go = 1, 91 = 3 and gn+1=7gn- 10gn–1 + 2n for n > 1. The reduced closed form of g, can be represented as gn =(Px p" + Q × q" + Rn+ S) where pand q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P,Q, R, S, A are all integers.

Linear Algebra: A Modern Introduction
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 57EQ
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1.What is the value of R+S?

2. What is the value of A?

Consider the following linear non-homogeneous recurrence relation where go = 1, g = 3 and gn+1 = 79, - 10g,n-1+ 2n for n >1. The reduced closed form of 9n can be represented as In = (Px p + Qx q" + Rn + S) where p and g are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. Here, P. Q, R, S, A are all integers.
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where go = 1, g = 3 and gn+1 = 79, - 10g,n-1+ 2n for n >1. The reduced closed form of 9n can be represented as In = (Px p + Qx q" + Rn + S) where p and g are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. Here, P. Q, R, S, A are all integers.
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