Find the generating function of the sequence {a} defined by a = 1 if k is an integer such that 0 ≤ k ≤ 3 and a= 2k for every integer k> 4. 1-2-8x³-4x² 2x - 1 O 1-2x - 7x²-3x²-x2–1 01+x+x² + x³ + 161-¹ O None of these. 1-2-7x²-3x² − x 01+x+x² + x³ + 1-2m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the generating function of the sequence {a} defined by a = 1 if k is an integer such that 0 ≤ k ≤ 3 and a= 2k for every integer k> 4.
1-2-8x³-4x² 2x - 1
O 1-2x - 7x²-3x²-x2–1
01+x+x² + x³ + 161-¹
O None of these.
1-2-7x²-3x² − x
01+x+x² + x³ + 1-2m
Transcribed Image Text:Find the generating function of the sequence {a} defined by a = 1 if k is an integer such that 0 ≤ k ≤ 3 and a= 2k for every integer k> 4. 1-2-8x³-4x² 2x - 1 O 1-2x - 7x²-3x²-x2–1 01+x+x² + x³ + 161-¹ O None of these. 1-2-7x²-3x² − x 01+x+x² + x³ + 1-2m
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