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Consider the following linear non-homogeneous recurrence relation where a, = 1, a = and 5a, + 2" = 4a,–1+ an+for n > 1 The closed form of a, can be represented as a, = sp" + tq" + urthere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of a10?

Consider the following linear non-homogeneous recurrence relation where a, = 1, a = and 5a, + 2" = 4a,–1+ an+for n > 1 The closed form of a, can be represented as a, = sp" + tq" + urthere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of a10?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following linear non-homogeneous recurrence relation where a, = 1, a = and 5a, + 2" = 4a,-1+ an+for n 21 The closed form of a, can be represented as a, = sp + tq" + urkhere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of a10?
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where a, = 1, a = and 5a, + 2" = 4a,-1+ an+for n 21 The closed form of a, can be represented as a, = sp + tq" + urkhere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of a10?
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