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Consider the recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 9 and a₁ = 13. a. Write out the first 5 terms of the sequence defined by this recurrence relation. an a2 = 129 , a3 = 517 , a4 = 2841 b. Solve the recurrence relation. That is, find a closed formula for an.

Consider the recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 9 and a₁ = 13. a. Write out the first 5 terms of the sequence defined by this recurrence relation. an a2 = 129 , a3 = 517 , a4 = 2841 b. Solve the recurrence relation. That is, find a closed formula for an.

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 recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 9 and a₁ = 13. a. Write out the first 5 terms of the sequence defined by this recurrence relation. an a2 = 129 , a3 = 517 , a4 = 2841 b. Solve the recurrence relation. That is, find a closed formula for an.
Transcribed Image Text:Consider the recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 9 and a₁ = 13. a. Write out the first 5 terms of the sequence defined by this recurrence relation. an a2 = 129 , a3 = 517 , a4 = 2841 b. Solve the recurrence relation. That is, find a closed formula for an.
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