Given the following general solution E 24, - 1) n A (n + x" = 0 n = 1 Set the coefficient portion of the power series equal to 0 and then solve for " An +1". A A (n + 1) * = 2 A - n -2 A B A (n + 1)= A A (n + 1) = 2n D O 4(n + 1) = 2 n A, A (n + 1)= 24 + n E 2 A F A (n + 1) (G A (n + 1) = 2 A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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q20

Given the following general solution
E 24, - nA (n +1)
x" = 0
n = 1
Set the coefficient portion of the power series equal to 0 and then solve for " An +1".
A
A (n + 1) *
= 2 A - n
-2 A
B A (n+ 1)=
A
A (n + 1)
2n
O 4(n + 1) = 2n A,
E
A
(n + 1)
= 2 A + n
2 A
FA (n + 1)
GA (n + 1) 2A,
Transcribed Image Text:Given the following general solution E 24, - nA (n +1) x" = 0 n = 1 Set the coefficient portion of the power series equal to 0 and then solve for " An +1". A A (n + 1) * = 2 A - n -2 A B A (n+ 1)= A A (n + 1) 2n O 4(n + 1) = 2n A, E A (n + 1) = 2 A + n 2 A FA (n + 1) GA (n + 1) 2A,
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