3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n = (na"), is a solution to the homogeneous difference equation Yn+k+ak-1Yn+k-1 +...+ a₁Yn+1+aoyn = 0.
3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n = (na"), is a solution to the homogeneous difference equation Yn+k+ak-1Yn+k-1 +...+ a₁Yn+1+aoyn = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 42E
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