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If {an}=1 is defined as a₁ = 1, a₂ = 4, and an = -an-1 + 2an-2 +6n - 7 for n ≥ 3, then Vn € Z+, an = n².

If {an}=1 is defined as a₁ = 1, a₂ = 4, and an = -an-1 + 2an-2 +6n - 7 for n ≥ 3, then Vn € Z+, an = n².

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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Use Mathematical Induction or Strong Mathematical Induction to prove the given statement.

If {an}=1 is defined as a₁ = 1, a₂ = 4, and an = −An-1 + 2an-2 + 6n − 7 for n ≥ 3, then Vn € Z³, añ= n².
Transcribed Image Text:If {an}=1 is defined as a₁ = 1, a₂ = 4, and an = −An-1 + 2an-2 + 6n − 7 for n ≥ 3, then Vn € Z³, añ= n².
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