In the following list, select all the correct expressions if G(x) is the generating function of the sequence {a}>o which satisfies the recursive relation ak = 2ak-1 + 5ak-2 +3-1 for every integer .k > 2. 100 G(x) = a₁ + a₁x + 2x Σk1 akx² +5Σkoakx²+² + xΣ₁3kxk | G(x) = ª₁ + ª₁x + 2Σk2 ak-1²k +5ΣX-2 ak-2020²k + Σk-21 003k-1² □G(x) = a₁ + a₁x + 2x[G(x) − ao] + 5x²G(x) + x₁_¹3x 1-3 00 □G(x) = a₁ + a₁ +2Σ₁a²+¹ +5Σax²+²+₁ 3³²+1 □G(x) = a₁ + a₁x + 2G(x) + 5xG(x) + x₁_¹3
In the following list, select all the correct expressions if G(x) is the generating function of the sequence {a}>o which satisfies the recursive relation ak = 2ak-1 + 5ak-2 +3-1 for every integer .k > 2. 100 G(x) = a₁ + a₁x + 2x Σk1 akx² +5Σkoakx²+² + xΣ₁3kxk | G(x) = ª₁ + ª₁x + 2Σk2 ak-1²k +5ΣX-2 ak-2020²k + Σk-21 003k-1² □G(x) = a₁ + a₁x + 2x[G(x) − ao] + 5x²G(x) + x₁_¹3x 1-3 00 □G(x) = a₁ + a₁ +2Σ₁a²+¹ +5Σax²+²+₁ 3³²+1 □G(x) = a₁ + a₁x + 2G(x) + 5xG(x) + x₁_¹3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![In the following list, select all the correct expressions if G(x) is the generating
function of the sequence {a}2o which satisfies the recursive relation
ak =
2ak-1 + 5ak-2 +3k-1 for every integer .k > 2.
G(x) = a + a₁x + 2x²₁ ax² +5%
₁ akxk+² + xΣk=1
□G(x) = a + a₁x+2Σ2 ak-1x² +5%-2 ak-200² +22 3k-1pk
□ G(x) = a
G(x) = a
00 3kk
1
+ a₁x + 2x [G(x) − ao] + 5x²G(x) + x = I
1-3
+ a₁ + 2 Σ ₁ akx²+¹ +5Σakx²+² +Σ1 3kk+1
700
G(x) = a + a₁x + 2G(x) + 5xG(x) + x- I
1
1-32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7dc95d2-023f-40ca-9530-c6f4e0f4a7a0%2Fa915680b-dd98-4546-906a-2ab36ba61bd6%2F95zjkxe_processed.png&w=3840&q=75)
Transcribed Image Text:In the following list, select all the correct expressions if G(x) is the generating
function of the sequence {a}2o which satisfies the recursive relation
ak =
2ak-1 + 5ak-2 +3k-1 for every integer .k > 2.
G(x) = a + a₁x + 2x²₁ ax² +5%
₁ akxk+² + xΣk=1
□G(x) = a + a₁x+2Σ2 ak-1x² +5%-2 ak-200² +22 3k-1pk
□ G(x) = a
G(x) = a
00 3kk
1
+ a₁x + 2x [G(x) − ao] + 5x²G(x) + x = I
1-3
+ a₁ + 2 Σ ₁ akx²+¹ +5Σakx²+² +Σ1 3kk+1
700
G(x) = a + a₁x + 2G(x) + 5xG(x) + x- I
1
1-32
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