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Kenneth Rosen Edition 7 Exercise 8.2 Question 27 (Page No. 525)

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What is the general form of the particular solution guaranteed to exist by Theorem 6 of the linear nonhomogeneous recurrence relation $a_{n} = 8a_{n-2} - 16a_{n-4} + F(n)$ if

  1. $F(n) = n^{3}?$
  2. $F(n) = (-2)^{n}?$
  3. $F(n) = n2^{n}? $
  4. $F(n) = n^{2}4^{n}?$
  5. $F(n) = (n^{2} - 2)(-2)^{n}?$
  6. $F(n) = n^{4}2^{n}?$
  7. $F(n) = 2?$
     
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