Prove that the product of any two consecutive odd numbers is

学习时间:2026-06-04 19:49:41 阅读：333

Prove that the product of any two consecutive odd numbers is 1 less than a multiple 4.英文好的帮帮忙~我不太理解这题的意思.是证明题.

俏皮的橘子

2026-06-04 19:49:41

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题目翻译：证明任意2个连续奇数的乘积加1是4的倍数。证明：设这两个奇数是2k-1,2k+1(k是任意整数),那么： (2k-1)(2k+1)+1=4k^2-1+1=4k^2 是4的倍数得证。