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Recurrence Relationshard
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A linear recurrence has general solution an=c1⋅(−1)n+c2⋅2n+c3⋅n⋅2na_n = c_1 \cdot (-1)^n + c_2 \cdot 2^n + c_3 \cdot n \cdot 2^nan​=c1​⋅(−1)n+c2​⋅2n+c3​⋅n⋅2n. Which statement about the characteristic polynomial MUST be true?