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Find the general solution of the recurrence relation: a) an = 7an-1-12an -2 + 2n(5¹) b) Show that the sequence an = 5(-1)" - n +2 is a solution of the recurrence relation an = an-1 + 2an-2+2n-9

Find the general solution of the recurrence relation: a) an = 7an-1-12an -2 + 2n(5¹) b) Show that the sequence an = 5(-1)" - n +2 is a solution of the recurrence relation an = an-1 + 2an-2+2n-9

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 21E
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Find the general solution of the recurrence relation: 7an-1-12an-2 + 2n(5¹) Show that the sequence an = 5(-1)" − n +2 is a solution of the recurrence relation an = an-1 + 2an-2+2n-9 a) b) an =
Transcribed Image Text:Find the general solution of the recurrence relation: 7an-1-12an-2 + 2n(5¹) Show that the sequence an = 5(-1)" − n +2 is a solution of the recurrence relation an = an-1 + 2an-2+2n-9 a) b) an =
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