Consider the following linear non-homogeneous recurrence relation where go = 1, 91 = 3and gn+1 = 7g, – 10gn-1+ 2for n > 1 The reduced closed form of gn can be represented as gn = (Px p +Qx q" + Rn + S) wherep and q 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. What is the value of P? What is the value of Q?? What is the value of R+ S What is the value of A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Consider the following linear non-homogeneous recurrence relation where go = 1, 91 = 3and gn+1 = 7gn – 10gn-1+ 2for n > 1 The reduced closed
form of gn can be represented as gn = (Px p +Qx q" + Rn + S) wherep and 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.
What is the value of P?
What is the value of Q??
What is the value of R+ S
What is the value of A
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where go = 1, 91 = 3and gn+1 = 7gn – 10gn-1+ 2for n > 1 The reduced closed form of gn can be represented as gn = (Px p +Qx q" + Rn + S) wherep and 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. What is the value of P? What is the value of Q?? What is the value of R+ S What is the value of A
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