Exercise 1.  Use the definition of the z-transform to find   .

1 (a).  For the sequence   .  

Solution 1 (a).

See text and/or instructor's solution manual.

Answer.   .  

Solution.   Use Definition 9.1 and obtain

                      
  
Therefore,   

                    .  

We are done.   

Aside.  We can let Mathematica double check our work.

          The Maple code is similar

  

                                                            

Aside.  We can use Mathematica's ZTransform subroutine.

          The Maple code is similar

  

                                                            

We are really done.   

Aside.  We can graph some of the terms in the sequence.

                                                                                                                        The sequence   .   

This solution is complements of the authors.

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