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PIUVE thlat Un 2 X9. A sequence {an} is defined recursively by ao = 1, a1 = 2, a2 = 24, and an = n 2 3. Prove that an = (-1)"+1 + (-3)" + 4" for all n 2 0. 13an-2 + 12an-3 for Y10 Supposo ns 7 Lot P(n) be and a cuch that n

PIUVE thlat Un 2 X9. A sequence {an} is defined recursively by ao = 1, a1 = 2, a2 = 24, and an = n 2 3. Prove that an = (-1)"+1 + (-3)" + 4" for all n 2 0. 13an-2 + 12an-3 for Y10 Supposo ns 7 Lot P(n) be and a cuch that n

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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Prove that an =(-1)" +÷· 3" for all n > 0. X9. A sequence {an} is defined recursively by ao = 1, a1 = 2, a2 = 24, and an = 13an-2 + 12an-3 n 2 3. Prove that an = (-1)n+1 + (-3)" + 4ª for all n 2 0. for Y10 Sunnose 6 2 Let P(n) be the statement that there are integers n and a such t+hat n -
Transcribed Image Text:Prove that an =(-1)" +÷· 3" for all n > 0. X9. A sequence {an} is defined recursively by ao = 1, a1 = 2, a2 = 24, and an = 13an-2 + 12an-3 n 2 3. Prove that an = (-1)n+1 + (-3)" + 4ª for all n 2 0. for Y10 Sunnose 6 2 Let P(n) be the statement that there are integers n and a such t+hat n -
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