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Looking for laws in junior high school mathematics
1, 1*2,2*3*4,2*3*4*5,2*3*4*5*6,2*3*4*5*6*7

The idea is to square each number first, then turn it into an integer, and then find the law.

The square number is 1, 2,24,120,720,5040. .....

Then add, subtract, multiply and divide the two numbers before and after. Obviously, there is no rule after addition, subtraction, multiplication and division.

After division,120/24 = 5 720/120 = 6. 5040/720 = 7.

Five, six and seven are the rules.

Let the nth number be Sn.

Then the square of Sn = 1*2*...*n

S 1 square = 1, S2 square = 1*2 S3 square = 1*2*3.

S24 Square =1* 2 * ... * 24S24 = √ (1* 2 * ... * 24)

Sn=√( 1*2*...*n)

There is something wrong with the topic. One column is missing a √6.

It should be 1, √ 2, √ 6, √ 2, √ 30, 12 √ 5, 12 √ 35. ...