Take any three consecutive even numbers and find their product : For example , 2 x 4 x 6 = 48 4 x 6 x 8 = 192 etc. Form three conjectures of these products.

Find the product of (x + 3) (x + 4)

Find the product of (x - 4)(x - 7)

The sum of three consecutive numbers of an A.P. is 27 and their product is 504. Find the numbers.

Take any three consecutive even numbers and add them, say, 2 + 4 + 6 = 12, 4 + 6 + 8 = 18, 6 + 8 + 10 = 24, 8 +10 + 12 = 30, 20 + 22 + 24 = 66. Is there any pattern you can guess in these sums? What can you conjecture about them?

Prove that the sum of three consecutive even numbers is divisible by 6.

The sum of three numbers in A.P. is -3 and their product is 8. Find the numbers.

Use the suitable identity to find the following product : (x + 4) (x + 10) .