12. an = 13. an = 2an-1 2a-1 14. an an-1 2 = and a₁ = -8 +1 +1 1 1 + an-1 15. an = an-1 = 16.) an an-1 + An-2 + and a₁ = 1 and a₁ = 1 and a₁ = 1, a₂ = 2 an-2 + an-3 and a₁ = a₂ = a; = 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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Question

11-16 Find the first five terms of the given recursively
defined sequence.
11. an = 2(an-1-2) and a₁ = 3
an-1
2
and a₁ = -8
13. an = 2an-1 +1 and a₁ = 1
and a₁ = 1
and a₁ = 1, a₂ = 2
+ an-3
and
12. an =
14. an
=
1
1 + an-1
15. an = an-1 + an-2
16. an an-1
=
+an-2
a₁ =a₂ = a3 =1
Transcribed Image Text:11-16 Find the first five terms of the given recursively defined sequence. 11. an = 2(an-1-2) and a₁ = 3 an-1 2 and a₁ = -8 13. an = 2an-1 +1 and a₁ = 1 and a₁ = 1 and a₁ = 1, a₂ = 2 + an-3 and 12. an = 14. an = 1 1 + an-1 15. an = an-1 + an-2 16. an an-1 = +an-2 a₁ =a₂ = a3 =1
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