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PROVE BY USING MATHEMATICAL INDUCTION n(n+1)(n+5) is multiple of 3
For n= 1,n(n+1)(n+5)=1(2)(6)
                                   =12 , is a multiple of 3
Assume that it is true for n=k.
That is k(k+1)(k+5) is a multiple of 3.
Now prove that it is true for n = k+1
for n= k+1,
     n(n+1)(n+5) = (k+1) (k+2)(k+6) is a multiple of 3 by assumption.
Hence n(n+1)(n+5) is a multiple of 3.
                         
 


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