Use induction to prove that, for n 1: 2" - 1 2" F 2 We recommend using "Preview My Answer" before clicking "Submit". Proof: We will prove this by induction on n. Basis: Let n = i=1 a= f = i=1 Then k+1 1 2 9= 2-221 2 2 = Induction Step: Consider k+1 1 2 = = j = = Induction Hypothesis: Assume 3k such that Vn with 1 n k, then p = 2-1 8= = 222414 b === 1 + 2 2 ,b= 2(21) 29 21 2 1 + 2 2 .h= + d-e 2 ,1 = 1 2 . Then By the induction hypothesis .q= = ,t= 2T - 1 2" ,C= , m = , T = ,d= Thus, by the property of mathematical induction, 2 = WI 1 2 e= = 2/ -1 21 - 201 for n 2" for n 1. O