Find the first five terms (starting with index 0) of the sequence defined by each of the following recurrence relation and initial condition. 1) ao = 4, an = 2an-1 for n ≥1 4.8.16,32,64 2) ao = 4, an 2an-1 +7 for n ≥ 1 3) ao = 4, a₁ = 5, an = an−1+3an-2 for n ≥ 2 4) ao = 1, an = 2(an-1 − 2) for n ≥1
Find the first five terms (starting with index 0) of the sequence defined by each of the following recurrence relation and initial condition. 1) ao = 4, an = 2an-1 for n ≥1 4.8.16,32,64 2) ao = 4, an 2an-1 +7 for n ≥ 1 3) ao = 4, a₁ = 5, an = an−1+3an-2 for n ≥ 2 4) ao = 1, an = 2(an-1 − 2) for n ≥1
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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
Transcribed Image Text:Find the first five terms (starting with index 0) of the sequence defined by each of the following recurrence relation and initial condition.
1) ao = 4, an = 2an-1 for n ≥ 1
4,8,16,32,64
2) ao = 4, an
=
= 2an-1 +7 for n ≥ 1
3) ao = 4, a₁ = 5, An = An−1+3an-2 for n ≥ 2
4) ao = 1, an = 2(an-1 − 2) for n ≥ 1
Hint:
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