2015 AMC 8 第 14 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
14.
下列哪个整数不能写成四个连续奇整数之和？
Which of the following integers cannot be written as the sum of four consecutive odd integers?
小提示：
用代数式表示四个连续奇整数
Write the four consecutive odd integers algebraically.
大提示：
它们的和总是 的倍数
Their sum is always a multiple of
视频讲解：
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文字解答：
设四个连续奇整数为 、、 和 。它们的和为
所以这样的和必须是 的倍数。选项中唯一不能被 整除的是 。
所以正确答案是 D。
Let the four consecutive odd integers be and Their sum is
So any such sum must be a multiple of The only answer choice that is not divisible by is
Thus, D is the correct answer.
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