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Math 2602

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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)

Maria Callas need to know how many integers ≤ 500 are divisible by (at least one of) 2, 3, or 5

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Answer

This is inclustion exclusion. First we cound the numbers divisable by 2

Similarly for 3 and 5

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Problem 2 (10 Points)

Joan Sutherland would like you tto sum the following. (use the Binomial Theorem)

**a:**

** **

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b:

** **

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Problem 3 (10 points)

Birgit Nilsson would like you to

Solve the difference equation:

= 3 + 4 = 0, = 5, = 15.

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Ans

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Problem 4: (5 points)

Find a difference equation for the ratios: = .

Here = 3 + 4 , as in the previous probem.

from = 3 + 4 we get

=

= +

= 3 +

= 3 +

Converted by *Mathematica*
February 15, 2000