Solved: Consider the nonhomogeneous linear recurrence

Chapter 11, Problem 24E

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Problem 24E

Consider the nonhomogeneous linear recurrence relation an = 2an−1 + 2n.

a)  Show that an = n2n is a solution of this recurrence relation.

b)  Use Theorem 5 to find all solutions of this recurrence relation.

c)  Find the solution with a0 = 2.

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