MATH 1P66 DEC 2009[1]

# MATH 1P66 DEC 2009[1] - BROCK UNIVERSITY Page 1 of 10 Final...

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December 2009 FINAL EXAMINATION MATHIP66 Question 1. [10 MARKS] (1 point each) You do not need to justify your answer for the following questions. (a) Make sure that you filled out the identification section write your student number where indicated at the bottom of every page. (b) What is (k~1 ~ where Ai = {i, i + 1, i + 2, ... }. (c) Find the error in the following proof of this "theorem": "Theorem: Every positive integer equals the next larger positive integer. " "Proof: Let P(n) be the proposition "n = n + 1". To show that P(k) implies P(k + 1), assume that P(k)
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MATH 1P66 DEC 2009[1] - BROCK UNIVERSITY Page 1 of 10 Final...

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