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Math 2602

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Feb 29 , 2000
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Section -- Circle One:*

Alan Michaels

Shuli Fu

Lisa McShine

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

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Problem 1 (10 points)

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

( - k)

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Answer

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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 .

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Answer

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Problem 3: (8 points)

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

is 3/4

and

is zero

Ord()

Converted by *Mathematica*
February 29, 2000