Math 2602

Feb 29 , 2000

Section -- Circle One:
Alan Michaels
Shuli Fu
Lisa McShine
  

Open Book and Notes. You have 50 minutes. Carefully explain your proceedures and answers

Problem 1 (10 points)

Sum by converting to a difference equation and solving that difference equation:

( -  k)

Answer

Problem  2 (10 Points)

Consider the  difference equation:

=  4    +

= 1

Let n = , and find a difference eqution for = . Solve this difference equation
and initial value. Re-express    the answer   in terms of n and .

Answer

Problem 3: (8 points)

a)  (2 points each) Find the limits   as n -> ∞:

  
   
   
    is  3/4
   and
   
    
   
   is zero

Ord()