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Practice Final

# Practice Final - Math 100 Practice Final Martin H Weissman...

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Math 100 Practice Final Martin H. Weissman On Thursday, December 13, there will be a three-hour final exam. The final will be very similar, in format and difficulty, to the series of questions given below. Question: 1 2 3 4 5 6 7 Total Points: 8 2 2 3 3 3 3 24 Score: 1. The following questions are worth 1 point each. No partial credit will be given. (a) (1 point) Which of the following sentences are true (the first, the second, both, or neither)? 1. x Z , y R , such that ( x + y > x ). 2. y R , x Z , ( x + y > x ). (a) (b) (1 point) Let A = { 1 , 3 , 5 , 7 , 9 } . Let B = { 1 , 4 , 7 , 10 } . Let C = { 1 , 5 , 6 , 9 } . Describe the set A ( B C ). (An answer should look like “ { 2 , 3 , 5 } ”, though this is not the correct answer). (b) (c) (1 point) The following defines a sequence a n recursively: Let a 0 = 2. Let a 1 = 3. If n 2, and n N , then let a n = 2 a n - 1 - a n - 2 . What is a 3 ? (c) (d) (1 point) How many whole numbers are there between 103 and 287, inclusive, which are multiples of 7, but not multiples of 5?

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Practice Final - Math 100 Practice Final Martin H Weissman...

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