Question

For all natural numbers n ,the greatest positive integer which divides (n+1)(n+2)(n+3) is

Answer 1

Greatest positive integer (n+1)(n+2)(n+3) is r!

Step-by-step explanation:

P(n) = (n+1)(n+2).........(n+r)

Lets find p(1) first

P(1) = r! (r+1)

In the similar way

P(k) will be divisible by r!

P(k+1) is also divisible by r!

Therefore p(n) will also be divisible by r!.

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Answer 2

Answer:

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