2. Suppose that co,c1,c2,... is a sequence defined as follows: co=1, C₁=4 Ck=2ck-1-Ck-2 for every integer k ≥2. Consider a proof by strong induction where P(n) is "bn=3n+1" for each integer n≥0. State P(k+1) and the first sentence for the inductive step, do not prove.

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Chapter2: Second-order Linear Odes
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2. Suppose that co,C1,C2,... is a sequence defined as follows:
Co=1, C₁=4
Ck=2ck-1-Ck-2
for every integer k≥2.
Consider a proof by strong induction where P(n) is "bn=3n+1" for each integer n ≥0.
State P(k+1) and the first sentence for the inductive step, do not prove.
Transcribed Image Text:2. Suppose that co,C1,C2,... is a sequence defined as follows: Co=1, C₁=4 Ck=2ck-1-Ck-2 for every integer k≥2. Consider a proof by strong induction where P(n) is "bn=3n+1" for each integer n ≥0. State P(k+1) and the first sentence for the inductive step, do not prove.
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