Question
A sequence {Tₙ} is defined as follows: Condition I: T₁ = 2 and for all n ≥ 2, Tₙ = 2·Tₙ₋₁ + (2n − 1). Condition II: T₄ = 45 (this is given as a consistency check). The first six terms are of the form: 2, 7, ?, 45, ?, 209 What is the 5th term of the sequence?
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