a. 1-z-1 1 b. 1 C. 1-3z-9
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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You may assume that 1, 1, 2, 3, 5, 8, ... has generating function
1-z - 22
(because it does). Use this fact to find the sequence generated by each of the
following generating functions.
а.
1
b.
C.
1-3z-9z
1
d.
(1–z-2*)(1-2)
Solution
....................
a. 0,0,1,1, 2, 3, 5, 8, ....
b. 1,0, 1,0, 2,0, 3, 0, 5, 0, 8, 0, ....
c. 1,3, 18, 81, 405, . ..
d. 1,2, 4, 7, 12, 20,....](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10d128c6-7dff-4c7c-9646-bb2f6ba4f5ff%2F92da4563-153f-44b3-923e-14a352f4308b%2Fspf6mea_processed.png&w=3840&q=75)
Transcribed Image Text:1
You may assume that 1, 1, 2, 3, 5, 8, ... has generating function
1-z - 22
(because it does). Use this fact to find the sequence generated by each of the
following generating functions.
а.
1
b.
C.
1-3z-9z
1
d.
(1–z-2*)(1-2)
Solution
....................
a. 0,0,1,1, 2, 3, 5, 8, ....
b. 1,0, 1,0, 2,0, 3, 0, 5, 0, 8, 0, ....
c. 1,3, 18, 81, 405, . ..
d. 1,2, 4, 7, 12, 20,....
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