Find explicit formulas for the sequences whose initial terms are given below. That is, find a formula for the nth term of the sequence. In each case, assume that the first term's index is 0. (a) 9, 12, 15, 18, 21, ... an = (b) 1, -6, 11,-16, 21, ... (c) an = 1 2 3 4 4' 9' 16' 25' an = , n ≥ 0 help (formulas) , n ≥ 0 help (formulas) , n ≥ 0 help (formulas)

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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(d)
149
3'9' 27
-
an
(e) 0,
an
=
12
2' 3'
3
n> 0 help (formulas)
n ≥ 0 help (formulas)
"
Transcribed Image Text:(d) 149 3'9' 27 - an (e) 0, an = 12 2' 3' 3 n> 0 help (formulas) n ≥ 0 help (formulas) "
Find explicit formulas for the sequences whose initial terms are given below.
That is, find a formula for the nth term of the sequence.
In each case, assume that the first term's index is 0.
(a) 9, 12, 15, 18, 21, ...
an =
(b) 1,-6, 11,-16, 21, ...
(c)
an =
1 2 3 4
4' 9' 16' 25'
an =
, n ≥ 0 help (formulas)
, n ≥ 0 help (formulas)
, n ≥ 0 help (formulas)
Transcribed Image Text:Find explicit formulas for the sequences whose initial terms are given below. That is, find a formula for the nth term of the sequence. In each case, assume that the first term's index is 0. (a) 9, 12, 15, 18, 21, ... an = (b) 1,-6, 11,-16, 21, ... (c) an = 1 2 3 4 4' 9' 16' 25' an = , n ≥ 0 help (formulas) , n ≥ 0 help (formulas) , n ≥ 0 help (formulas)
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