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Sara was counting how many questions remain for her to grade, when she notices a pattern. Letting n be a positive integer representing the number
Sara was counting how many questions remain for her to grade, when she notices a pattern. Letting n be a positive integer representing the number of questions that remains for her to grade, Sara claims that for all n if she subtracts n from n^3, the result is always a multiple of 6.
Help Sara prove her claim with a proof by induction.
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