2. Let a1, a2, a3,... be the sequence defined recursively as follows: a₁ = 1, a2 = 20, and for all k ≥ 3, ak = Use strong induction to prove that for all integers n ≥ 1, an ≤ 6. 5ak-1 +6ak-2.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. Let a1, a2, a3,... be the sequence defined recursively as follows:
a₁ = 1, a₂
= 1, a2 = 20, and for all k ≥ 3, ak
=
Use strong induction to prove that for all integers n ≥ 1, an ≤ 6.
5ak-1 + 6ak-2.
Transcribed Image Text:2. Let a1, a2, a3,... be the sequence defined recursively as follows: a₁ = 1, a₂ = 1, a2 = 20, and for all k ≥ 3, ak = Use strong induction to prove that for all integers n ≥ 1, an ≤ 6. 5ak-1 + 6ak-2.
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