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Kenneth Rosen Edition 7 Exercise 8.2 Question 24 (Page No. 525)

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Consider the nonhomogeneous linear recurrence relation $a_{n} = 2a_{n-1} + 2^{n}.$

  1. Show that $a_{n} = n2^{n}$ is a solution of this recurrence relation.
  2. Use Theorem $5$ to find all solutions of this recurrence relation.
  3. Find the solution with $a_{0} = 2.$
     
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