Exercise 5.  Let    for n=1,2,...

Show that the sequence    is a solution to the difference equation      for   .  

Solution 5.

See text and/or instructor's solution manual.

Solution.  Substitute    into the  difference equation    and get   

                       

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell