Question

A sequence {Sₙ} is defined by: Condition I: S₁ = 3 and for all n ≥ 2, Sₙ = 2·Sₙ₋₁ + (−1)ⁿ. Condition II: The second term S₂ is 7. The first six terms are: 3, 7, 13, 27, ?, 107 What is the 5th term?

A 47
B 67
C 53
D 27
E None of these
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