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Page 2 of 2 (3) When n = 1, 1 2 , and 1- when n = 1. 2 2 2 Suppose k is
Page 2 of 2 (3) When n = 1, 1 2 , and 1- when n = 1. 2 " 2 2 Suppose k is a positive integer. Assume 8 that . We need to show 2 4 24+1 = 1- 24+1 . Note that 1 2 8 1. 2 24+1 =1 2 4 8 24+1 = 1- 2 24+1 2* . 2 2441 2*+1 2 4+l =1+- -2+1 the induction is complete. 24+1 2*41 . Therefore,2. Use mathematical induction to prove the given statement is true for all positive integers, n. 1 2 2 WIN -+ + 27 3 3\f
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