MATH 1200 Study Guide - Final Guide: Methods Of Computing Square Roots, Mathematical Induction
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Instructions: time allowed: 180 minutes, there are 7 questions on 11 pages, questions can be solved in more than one way, make sure that you write clearly and carefully using full english sentences. If you have completed the online course evaluation, sign this statement to. April 19, 2010: (10 points) prove or disprove, the sum of any four consecutive integers is even. April 19, 2010: (10 points) let x be a real number. Prove or disprove, x = 2 if and only if x3 x2 x = 2. Consider the natural numbers from 1 to 2n. Pair o these numbers as above, 1 and (2n), 2 and (2n 1), 3 and (2n 2), . , n and (n + 1), and evaluate the products of the pairs, 1 (2n), 2 (2n 1), 3 (2n 2), . Prove that for no value of n are two of these n products equal.