Math 55: Discrete Mathematics
Math 55: Discrete Mathematics UC Berkeley, Fall 2011 Homework # 5, due Wednesday, February 22 5.1.4 Let P(n) be the statement that 13 + 23 + + n3 = (n(n+ 1)=2)2 for the positive integer n. a) What is the statement P(1)? b) Show that P(1) is true. c) What is the induction hypothesis? d) What do you need to prove in the inductive step?
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