Given the following general solution 2(R + 1)(R + 3) A (a+ 1) - 5 (R – 1) A] x" = 0 R = 1 If we solve for its coefficients we get 5 (R - 1) AR A (R + 1) (R+1)(R+3) Starting with " R = 0 ", find the first few coefficients for our series (R = 0, 1, 2, 3, and 4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Given the following general solution
Σ
E [(R + 1)(R + 3) A
Ala+1) - "
5 (R – 1) A]
= 0
(R + 1)
R = 1
If we solve for its coefficients we get
5 (R - 1) A
A (R + 1)= (R + 1)(R + 3)
R
Starting with " R= 0 ", find the first few coefficients for our series (R = 0, 1, 2, 3, and 4).
-5
A,
5
AA (R+ 1)
A
3'
12
3
A
A (R + 1)
A, A.
-5
B.
BA(R+ 1)
3
12
© A (R + 1)
A. A2.
A,
7
-A
6.
=
3
3
D
A (R + 1)
A,
8.
A
0"
3'
10
25
A
4
E
A (R + 1)
0 A o*
A,
3
A,
-
Transcribed Image Text:Given the following general solution Σ E [(R + 1)(R + 3) A Ala+1) - " 5 (R – 1) A] = 0 (R + 1) R = 1 If we solve for its coefficients we get 5 (R - 1) A A (R + 1)= (R + 1)(R + 3) R Starting with " R= 0 ", find the first few coefficients for our series (R = 0, 1, 2, 3, and 4). -5 A, 5 AA (R+ 1) A 3' 12 3 A A (R + 1) A, A. -5 B. BA(R+ 1) 3 12 © A (R + 1) A. A2. A, 7 -A 6. = 3 3 D A (R + 1) A, 8. A 0" 3' 10 25 A 4 E A (R + 1) 0 A o* A, 3 A, -
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