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C2004 Discrete Mathematics – WordPress.com

C2004 Discrete Mathematics – WordPress.com

C2004 – April 2006 – QP Page 6 of 6 Question 5 (a) The sequence of number U 1, U 2, U 3, … is given by U 1 = 0 U n = U n-1 + 2(n-1) – 1 (i) Use the above information to evaluate U 2, U 3, U 4, U 5 [2] (ii) Use mathematical induction method to prove that U n = (n – 1)2 [5] (b) “If it is holiday, then I will eat steak for dinner. If I …