Guest

The greatest positive integer which divides (n+1)(n+2) upto (n+r) forall n belongs to N is a)r! b)(r+1)! I think option b) is correct .If not then please explain in detail how option a) is correct.

The greatest positive integer which divides (n+1)(n+2) upto (n+r) forall n belongs to N is                                    a)r!   b)(r+1)!   I think option b) is correct .If not then please explain in detail how option a) is correct. 

Grade:12

4 Answers

Arun
25750 Points
5 years ago
Dear student
 
P(n) = (n+1)(n+2).........(n+r)
Now find p(1)
P(1) = r! (r+1)
Similarly
P(k) will be divisible by r!
P(k+1) is also divisible by r!
Hence p(n) qill also be divisible by r!.
Regards
Arun (askIITians forum expert)
Raja Sekhar Reddy Eragamreddy
23 Points
5 years ago
Sir there in the question it mentioned to choose the greatest positive integer then Ithink (r+1)! is the accurate option than r!. Can you justify my answer.
Arun
25750 Points
5 years ago
Just
Raja Sekhar Reddy Eragamreddy
23 Points
5 years ago
sir I did not understand what do mean by just? please once again reply me soon.please sir please.

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free