AMC 8 2022 Problem 17

AMC8 2022 年第 17

余数与同余★★★☆☆
If n is an even positive integer, the double factorial notation n!! represents the product of all the even integers from 2 to n. For example, 8!!=24688!! = 2 \cdot 4 \cdot 6 \cdot 8. What is the units digit of the following sum? 2!!+4!!+6!!++2018!!+2020!!+2022!!2!! + 4!! + 6!! + \cdots + 2018!! + 2020!! + 2022!!
如果 n 是一个正整数,那么双阶乘记号 n!!代表从 2 到 n 的所有偶整数的乘积。例如, 8!!=2·4·6·8。问下面和式的个位数字是几? 2!!+4!!+6!!+ … +2018!!+2020!!+2022!!
  1. A.
  2. B.
  3. C.
  4. D.
  5. E.

正确答案 · Correct Answer

B

解析 · Solution

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