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For n greaterthanorequalto 1, prove that n(n + 1) (2n + 1)/6 is an integer. By the Division Algorithm, n has one of the forms

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For n greaterthanorequalto 1, prove that n(n + 1) (2n + 1)/6 is an integer. By the Division Algorithm, n has one of the forms 6k, 6k + 1, ..., 6k + 5; establish the result in each of these six cases

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