Question

Look at the pattern 1x 4 = (2x 3) - 2 2× 5 = (3×4) - 2 3x6 = (4x5) - 2 4x7 =(5x6) - 2 1) write the next two lines in this pattern. 2) write this as a general principal in algebra.​

Answer 1

1. 5×8 = (6×7) - 2

6×9 = (7×8) - 2

2. The numbers are n, n+1, n+2, (n+3)

n (n+3) = n2 + 3n

(n + 1) (n + 2) = n2 + 3n + 2

difference = 2