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The seventh grade mathematics explores the law.
The first power of 2 is 2, the second power of 2 is 4, the third power of 2 is 8, and the fourth power of 2 is the twentieth power of 16...2. What is the law?

Unit number: 2, 4, 8, 6, 2, 4, ...

2, 4, 8, 6, one section, 20/4=5+0.

The number at the end of the twentieth power of 2 is 6.

The quadratic equation 1×3+ 1=4=2 is studied.

2×4+ 1=9=3 squared

3×5+ 1= 16=4 quadratic ...

Let n be a positive integer, please use the formula containing n to express the important step () of the above law.

1×( 1+2)+ 1=4=2^2

2×(2+2)+ 1=9=3^2

3×(3+2)+ 1= 16=4^2

……

n*(n+2)=(n+ 1)^2)