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if n is an integer prove that n(n+1)(n+2+2015)is a multiple of 6

if n is an integer prove that n(n+1)(n+2+2015)is a multiple of 6

Grade:10

3 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Dear student,

you can prove it bu math inductions

Consider this as true for some k and then prove that this is true for k+1 also.

thats it!!
juveria
20 Points
6 years ago
but sir im not getting it
Prajwal Kavad
603 Points
6 years ago
first it is divisible by 2and 3  since n(n+1)(n+2) therefore it is divisible by 6 also
 

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