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 the solutions of a linear homogeneous recurrence relation if its characteristic equation has roots -1,-1,-1,2,2,5,5,7

$a_{n}=(A+Bn+Cn^{2})(-1)^{n}+(D+En)(2)^{n}+(F+Gn)(5)^{n}+H(7)^{n}$

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admin asked May 5, 2020
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Find all solutions of the recurrence relation $a_{n} = -5a_{n-1} - 6a_{n-2} + 42 \cdot 4^{n}.$Find the solution of this recurrence relation with $a_{1} = 56\:\text{and}\:...