The generating function of a_{n+1}=8a_{n}+4*1,where a,=3 isΟ a. Σ2x)(K+Σ (4x) ^ΚΟ b. Σ(2x) ^[k)+2Σ (4x) ^[K)Ο c. 1/2(Σ (2x) ^{k]+Σ (4x) ^K)Ο d.2Σ(2x) ^[k]+2 Σ (4x) ^{k)

To find the generating function of an+1=8an+4n+1 First multiplying the relation by xn and taking…

Answered: The generating function of…

The generating function of a_{n+1}=8a_{n}+4n*, where a,=3 is a. Σ2x)^k+Σ (4x) ^{k Ο b. Σ( 2x) ^{k}+ 2Σ (4x) ^{k Ο c. 1/2(Σ (2x) ^{k}+ Σ (4x) ^[K) Ο d.2Σ(2x)^{k)+ 2 Σ (4x) ^[k)

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

The generating function of a_{n+1}=8a_{n}+4*1,
where a,=3 is
Ο a. Σ2x)(K+Σ (4x) ^Κ
Ο b. Σ(2x) ^[k)+2Σ (4x) ^[K)
Ο c. 1/2(Σ (2x) ^{k]+Σ (4x) ^K)
Ο d.2Σ(2x) ^[k]+2 Σ (4x) ^{k)

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