Question

下列等式1X3+1+4+2平方、2X4+1=9=3的平方.请找出规律写出第N个算式:

Answer 1

1×3+1=4=2^2

2×4+1=9=3^2

3×5+1=16=4^2

4×6+1=25=5^2

.

n×(n+2)+1=n^2+2n+1=(n+1)^2