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One of the statements below is true, and the other is false. Identify which is which,...

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Advance Math

One of the statements below is true, and the other is false.Identify which is which, give a direct proof of the true one, andgive a counterexample to the false one.

(a) The sum of every four consecutive integers is a multiple of4;

(b) the sum of every five consecutive integers is a multiple of5.

(An arbitrary set of four consecutive integers can be written asn, n + 1, n + 2, and n + 3 for some n ? Z.)


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