Question: Let n 1 be an integer. Show that in any set of n consecutive integers, there is exactly one that is divisible by n. (Hint:

Let n 1 be an integer. Show that in any set of n consecutive integers, there is exactly one that is divisible by n. (Hint: Express the smallest integer in the set as qn + r, where q, r are integers with 0 r n 1.)

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