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What Form Does a Particular Solution of the Linear Nonhomogeneous an=4an−1−4an−2a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }

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What form does a particular solution of the linear nonhomogeneous recurrence relation an=4an−1−4an−2a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 } + F(n)F ( n ) have when F(n)=2nF ( n ) = 2 ^ { n } ?

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