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Consider the following inductive proof: Conjecture: VnE Z ske Z such that n= 2 (1) Basis Step: n=1: 1 = -2 (2) Inductive Step: (3)

Consider the following inductive proof:

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Conjecture: VnE Z ske Z such that n= 2 (1) Basis Step: n=1: 1 = -2 (2) Inductive Step: (3) Assume as the inductive hypothesis that j = 2 for some integer ; ? 1 and some integer k. (4) We must show that there is an integer m= 2k+1 (5) 2X+1 = 2 * 2* by the rules of exponents (6) = 2j by the inductive hypothesis (7) Since j is an integer (by the inductive hypothesis), 2j is also an integer because the product of integers is an integer. (8) Therefore, let m= 2j = 2k+1 At which line is there an error? A. Line 1 B. Line 3 C. Line 4 D. Line 5 E. Line 6 F. Line 7 G. None--there is no error in this proof

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