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Recursionhard
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A sequence is conjectured to have the closed form an=5⋅2n−3⋅(−1)na_n = 5 \cdot 2^n - 3 \cdot (-1)^nan​=5⋅2n−3⋅(−1)n and satisfy the recurrence an=an−1+2an−2a_n = a_{n-1} + 2a_{n-2}an​=an−1​+2an−2​ for n≥2n \geq 2n≥2. Which statement is correct?