Math 2602

Don't Panic

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

Problem 1 (10 points)

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

Answer

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

Similarly for 3 and 5

Problem  2 (10 Points)

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

a:

b:

Problem 3 (10 points)

Birgit  Nilsson  would like you to

Solve the difference equation:


= 3 + 4   = 0,        = 5,   = 15.

Ans

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 +