2016 AMC 8 第 19 题
先试着解答 2016 AMC 8 第 19 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2016 AMC 8 解答,或核对答案。
所有题目均经美国数学协会(MAA)官方合法授权使用。
19.
个连续偶整数的和是 。这 个连续偶整数中最大的是多少?
The sum of consecutive even integers is What is the largest of these consecutive even integers?
答案:E
小提示:
奇数个连续项的平均数就是中间项
For an odd number of consecutive terms, the average is the middle term.
大提示:
有 个偶整数比中间项大
There are even integers larger than the middle term.
视频讲解:
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文字解答:
这些数的平均数为 。因为共有二十五个连续偶整数,平均数就是中间项。最大数比中间项大 个偶数间隔,所以等于 。
所以正确答案是 E。
The average of these numbers is The largest number is even numbers away, which means that it equals
Thus, E is the correct answer.
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