Ononot — A linear recurrence has general solution an = c1 \cdot (-1)^

Recurrence Relationshard

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A linear recurrence has general solution $a_n = c_1 \cdot (-1)^n + c_2 \cdot 2^n + c_3 \cdot n \cdot 2^n$ . Which statement about the characteristic polynomial MUST be true?