3^2-1^2=8=8x1 5^2-3^2=16=8x2 7^2-5^2=24=8x3 9^2-7^2=32=8x4 …………

2025-05-14 12:23:31
推荐回答(2个)
回答1:

(2n+1)^2-(2n-1)^2=(2n+1+2n-1)(2n+1-2n+1)=4n*2=8n, n为正整数
PS:式子左边和右边是规律,中间是证明。

回答2:

3^2-1^2=4*2
5^2-3^2=4*4
7^2-5^2=4*6
(n+1)^2-(n-1)^2=4n
(n+1)^2-(n-1)^2=n^2+2n+1-n^2+2n-1=4n