Q1.Find the solution of the recurrence relationa,n = 5an-1 - 6an-2whereao = 4anda, = 1. %3D %3D

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
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Q1.Find the solution of the recurrence relationa, = 5an-1 – 6an-2wherea, = 4anda, = 1.
Q2.Solve the recurrence relation a, = 10an-1 – 25a,-2wherea, = 2 and a1 = 10.
2x
1
Q3.(a).Find the sequence {an} having the generating function,G(x) =
(1-x)2
1+3x
(b). Find the generating function for the sequence{7k(k + 1) + 2k}.
Transcribed Image Text:Q1.Find the solution of the recurrence relationa, = 5an-1 – 6an-2wherea, = 4anda, = 1. Q2.Solve the recurrence relation a, = 10an-1 – 25a,-2wherea, = 2 and a1 = 10. 2x 1 Q3.(a).Find the sequence {an} having the generating function,G(x) = (1-x)2 1+3x (b). Find the generating function for the sequence{7k(k + 1) + 2k}.
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