Hints homework set # 3 (due 07/01) math 3000/7000 (summer 2019) i= n(n+ 1), for all natural problem 3.1. prove 1 n = n(n +1), that is, tn = 1 numbers n by pmi (principle of mathematical induction). hint. follow the steps (i), (ii) and (ii) as instructed. in the inductive step (ii), statement is true when 72 assume the k for some natural number k, and then show the statement is n = k+1 true when n = k +1. note that a; = a1 +a2 +ak+ ak+1= + ak+1- i-1