prove that

Asked by haynes | 19th Apr, 2009, 11:45: AM

Expert Answer:

The given expression can be expressed as (n-1)*n*(n+1) which indicates nothing but the product of three consecutive integer with n greater than or equal to 2.

As you know that if we take any three consecutive positive integer then exactly one of them will be a multiple of 3 and one of them will be multiple of two.If we take the product of these three then the product is always divisible by 6.

 

 

 

Answered by  | 20th Apr, 2009, 12:41: PM

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