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Find the generating function of the sequence {a}2o if for every integer k ≥ 0: if 0 ≤ k ≤ 3 J 1, 2k, if k > 4 ak = O 1 1-2x 1 0 1 + x + x² + x³ +16- 1-2x 7x³ 3x² -x-1 1-2x - 8x³4x² - 2x 1 - 1-2x 7x³ - 3x² - X 1+x+x² + x³ + None of these. 1 1-2x

Find the generating function of the sequence {a}2o if for every integer k ≥ 0: if 0 ≤ k ≤ 3 J 1, 2k, if k > 4 ak = O 1 1-2x 1 0 1 + x + x² + x³ +16- 1-2x 7x³ 3x² -x-1 1-2x - 8x³4x² - 2x 1 - 1-2x 7x³ - 3x² - X 1+x+x² + x³ + None of these. 1 1-2x

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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Find the generating function of the sequence {ak }k≥o if for every integer k ≥ 0: J 1, if 0 ≤ k ≤ 3 if k > 4 ak O O - 1 1-2x 1-2x 9 1-2x 8x³ 4x² 2x - 1 - 1+x+x² + x³ + 16- - 7x³ – 3x² - - - 7x³ – 3x². - -x-1 None of these. 1 1-2x - X 0 1+x+x² + x³ + 1 1-2x
Transcribed Image Text:Find the generating function of the sequence {ak }k≥o if for every integer k ≥ 0: J 1, if 0 ≤ k ≤ 3 if k > 4 ak O O - 1 1-2x 1-2x 9 1-2x 8x³ 4x² 2x - 1 - 1+x+x² + x³ + 16- - 7x³ – 3x² - - - 7x³ – 3x². - -x-1 None of these. 1 1-2x - X 0 1+x+x² + x³ + 1 1-2x
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