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Math · Advanced Math
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Hints: An integer number N is odd if it can be written in the form N-2q+1, where q is an integer number An integer number N is even if it can be written in the form N-2q, where q is an integer number An integer number N is a multiple of an integer number k if there exists an integer number q such that N-kq Prove the following statements: a) The sum of any three consecutive odd numbers is always a multiple of 3 b) The sum of any four consecutive odd numbers is always a multiple of 8 c) Prove that if you add the squares of two consecutive integer numbers and then add one, you always get an even number.

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