1. Suppose that (F(n))n>0 is a sequence satisfying the recurrence relation F(n) = 7F(n – 1) – 6F(n – 2) for n> 2 with initial values F(0) = 0 and F(1) = 5. (a) Solve the recurrence equation using the characteristic equation method. (b) Solve the recurrence equation using the generating function method.

1. Suppose that (F(n))n>0 is a sequence satisfying the recurrence relation F(n) = 7F(n – 1) – 6F(n – 2) for n> 2 with initial values F(0) = 0 and F(1) = 5. (a) Solve the recurrence equation using the characteristic equation method. (b) Solve the recurrence equation using the generating function method.

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 53EQ

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