Which of the following describes the set of all possible values of the positive integer k such that, for each positive odd integer n, the value of ~$n \over k$~ is midway between consecutive integers?
All positive integers greater than 2
All prime numbers
All positive even integers
All even prime numbers
All positive even multiples of 5
midway,中点;midway between consecutive integers,连续的整数的中间点
All even prime numbers=2,奇数/2=整数 +0.5
连续的整数的中位数要么是整数+0.5,要么是一个整数,所以奇数/2必定是连续的整数的中位数
小小纠正:连续整数的中位数只能是整数+0.5
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