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Problem 3 - Entrance Test

A sequence models Algeria’s solar-energy capacity: a₁=2, a₂=5, and aₙ=3aₙ₋₁–2aₙ₋₂ for n≥3. What is a₆?

Correct: B

Recurrence gives a₃=11, a₄=23, a₅=47, a₆=97.