Question

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of three such examples

Answer 1

Answer:

if we are taking x,x+1,x+2 are the three consecutive numbers then product is

x (x+1)(x+2)=xcube+3xsquare+2x.in this polynomial when x receives any value it will be the multiple of 6.

Step-by-step explanation:

1) 2*3*4=24

2)5*6*7=210

3)1*2*3=6

so, it can be seen that all the numbers are divisible by 6