Find, with proof, a formula for T n , of the form T = A n +B
Question:
Find, with proof, a formula for Tn, of the form T₁ = An +Bn where {An} and {Bn} are well-known sequences.
Let T0 = 2, T1 = 3, T₂ = 6, and for n ≥ 3,
T₁ = (n + 4)Tn−1 − 4nTn-2 + (4n − 8)Tn-3.
The first few terms are
2, 3, 6, 14, 40, 152, 784, 5168, 40,576
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T n 2 Use mathematical induction to verify the formula To 1 1 2 T12 ...View the full answer
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