(43) The product of any three consecutive natural number is denoted by

1.	(43) The product of any three consecutive natural number is denoted by.(A) 6(B) 8(C) 20(D) 24
Answer» Let the consecutive numbers be n, n+1, n+2 Their product would be n3+3n2+2n Here it has been stated that n is a natural number. SO the value fo n could be anything from 1 to infinite. let us test few values of n starting with 1, 2 and 3 n= 1 so n3+3n2+2n = 6 which is divisible by 6, n= 2 so n3+3n2+2n = 24 which is also divisible by 6 and so on. SO we may say that the the product of any 3 consecutive natural numbers is divisible by 6.

(43) The product of any three consecutive natural number is denoted by.(A) 6(B) 8(C) 20(D) 24

Answer»

Let the consecutive numbers be n, n+1, n+2

Their product would be n3+3n2+2n

Here it has been stated that n is a natural number. SO the value fo n could be anything from 1 to infinite.

let us test few values of n starting with 1, 2 and 3

n= 1 so n3+3n2+2n = 6 which is divisible by 6,

n= 2 so n3+3n2+2n = 24 which is also divisible by 6 and so on.

SO we may say that the the product of any 3 consecutive natural numbers is divisible by 6.