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You may assume that 1, 1, 2, 3, 5, 8, ... has generating function 1-x – 2² (because it does). Use this fact to find the sequence generated by each of the following generating functions. a. b. 1 C. 1-3z 9r 1 d. (1-z-z)(1-

You may assume that 1, 1, 2, 3, 5, 8, ... has generating function 1-x – 2² (because it does). Use this fact to find the sequence generated by each of the following generating functions. a. b. 1 C. 1-3z 9r 1 d. (1-z-z)(1-

Advanced Engineering Mathematics
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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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,....
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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