Suppose that n is a positive integer. Arrange the steps in the correct order to show that 2 divides n²+ n using mathematical induction. Rank the options below. As the sum of two multiples of 2 is again a multiple of 2, 2 divides (k+ 1)2 + (k+1). (k+ 1)2 + (k+1)= (k² + 2k + 1) + (k+ 1) = (k² + k) + 2(k+1) The inductive hypothesis is that 2 divides k² + k. 12+1=2 and 212, so the basis step is clear. 2 divides K² + k by inductive hypothesis, and clearly 2 divides 2(k+ 1). V

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