2024 AMC 8 第 4 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。
4.
Yunji 把 到 的所有整数相加时，错误地漏掉了一个数。她得到的错误和恰好是一个平方数。Yunji 漏掉了哪个数？
When Yunji added all the integers from to she mistakenly left out a number. Her incorrect sum turned out to be a square number. Which number did Yunji leave out?
小提示：
到 的和是
The sum from to is
大提示：
错误和必须是小于 的平方数
The incorrect sum must be a square below
视频讲解：
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文字解答：
要求 Yunji 漏掉的数，先求从 到 的总和，再求这个总和与比它小的最大完全平方数之差。从 到 的整数和为 小于 的最大完全平方数是 ，所以漏掉的数是 。
所以正确答案是 E。
To find the number that Yunji left out, we need to find the sum of the integers from to and find its difference with the largest perfect square below the sum. We can calculate the sum of the integers from to as follows: The largest perfect square less than would be and .
Thus, E is the correct answer.
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