MATH 240 Final: 2002 Math 240 - Spring Final Exam
Document Summary
No notes, no books, no calculator, no cell phones, no pagers, no electronic devices at all. Solutions will be posted shortly after the exam: www. math. wisc. edu/ miller/m240. 1: (8 pts) prove that 3n 3n + 1 for every integer n 2. 2: (8 pts) construct a truth table for ((p q) (p r)) 3: (8 pts) find d =gcd(45, 39) and nd integers k and l so that d = 45k + 39l. 4: (8 pts) a prime triple is a prime p such that p, p + 2, p + 4 are all prime numbers. Prove that 3, 5, 7 is the only prime triple. (note: 1 is not a prime number and 1, 3, 5 is not a prime triple. ) 5: (8 pts) how many words of length 8 are there such that they are made up of the.
