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Consider the nonhomogeneous linear recurrence relationan= 3an−1+ 3n. (a) Show thatan=n3nis a solution of this recurrence...

Consider the nonhomogeneous linear recurrence relationan= 3an−1+ 3n. (a) Show thatan=n3nis a solution of this recurrence relation. (b) Use Theorem 5 to find all solutions to this recurrence relation. (c) Find the solution witha0= 2.

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