Quadratic+Numbers

Quadratic Equations

Equation for formula of all quadratic numbers: An 2 + Bn + C

For example: Sequence:3 7 13 21 31 43 57 73 1st Order: 4 6 8 10 12 14 16 2nd Order: 2 2 2 2 2 2

If n=1, A + B + C = 3 3A + B (first difference) = 4 2A (second difference) = 2

So, A= 1 because 2A= 2 B= 1 because 3A+B= 4 C= 1 because A(1) + B(1) + C= 3

Formula n 2 + n + 1 Test: 2*2 + 2 + 1= 7