2. 职称英语
  3. Which of the following numbers is NOT the sum of three consecutive odd integers?

Which of the following numbers is NOT the sum of three consecutive odd integers?

游客2025-02-24  10
问题 Which of the following numbers is NOT the sum of three consecutive odd integers?
选项 A、15
B、75
C、123
D、297
E、313
答案 E
解析 下列哪一个不是3个连续奇整数(consecutive odd integer)的和?
解：本题的正确答案是(E)。设3个连续奇整数分别为2n+1，2n+3，2n+5，其中n为正数，则3个连续奇整数的和=(2n+1)+ (2n+3)+(2n+5)=3(2n+3)，因此3个连续奇整数的和必为3的倍数。本题中只有(E)不是3的倍数。
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