3 * 3-1 * 1 = 8 * 1 5 * 5-3 * 3 = 8 * 2 7 * 7-5 * 5 = 8 * 3... How to describe and prove such a rule in words 3 * 3-1 * 1 = 8 * 1 5 * 5-3 * 3 = 8 * 2 7 * 7-5 * 5 = 8 * 3... How to describe and prove such a rule in words?

3 * 3-1 * 1 = 8 * 1 5 * 5-3 * 3 = 8 * 2 7 * 7-5 * 5 = 8 * 3... How to describe and prove such a rule in words 3 * 3-1 * 1 = 8 * 1 5 * 5-3 * 3 = 8 * 2 7 * 7-5 * 5 = 8 * 3... How to describe and prove such a rule in words?

Description: the square difference of two adjacent odd numbers is an integral multiple of 8
Let n be a positive integer (n = 1,2,3,...)
(2n+1)²-(2n-1)²
=(2n+1+2n-1)*(2n+1-2n+1)
=4n*2
=8n
So the conclusion is proved