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Math 2602

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March 21 , 2000*

Name:____________________________

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Don't Panic
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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:

Express as a sum of falling factorials.

Use this result to find:

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Answer

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Problem 2 (10 Points)

Sum by parts:

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Answer

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Problem 3: (8 points)

Find the difference (with respect to n- 1 point each)

a)

b) n!

Not what I was expecting, but correct.

(n+1)! - n ! =

(n+1) n! - n! = n n!

c)

d)

Since = + , we get for the difference.

Find an anti -difference: (with respect to n - 2 points each)

e) n(n!)

f)

Converted by *Mathematica*
April 26, 2000