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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
2024-01-12
71
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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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