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

游客2024-01-12  9

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。
转载请注明原文地址:https://tihaiku.com/zcyy/3356785.html
最新回复(0)