MATH 174 Midterm: MATH174 South Carolina f 03 f nospace
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When you do something clever, explain your work. If i know your e-mail address, i will e-mail your course grade to you. If i don"t already know your e-mail address and you want me to know it, then send me an e-mail. I will post the solutions on my website later today. You may leave the binomial coe cient (cid:0)n r(cid:1) in any of your answers: consider the relation on the set of real numbers. Explain: if a and b are integers, then a b mod 5 if and only if 5|(a b) . Describe the equivalance classes that correspond to this equivalence relation: suppose n 1 mod 5 . 5 which does not involve : solve the recurrence relation a0 = 1000 , an = (1. 05)an 1 + 100 for 1 n , consider the tower of hanoi problem. There are three towers in a row: tower.
