Thread
:
Show 6 divides (n^2+5)n
View Single Post
dextercioby
#
6
Jan15-11, 10:06 AM
Sci Advisor
HW Helper
P: 11,927
You can prove it without mathematical induction, too
[tex] k\left(k^2 +5\right) =k\left[(k+1)(k+2)-3k+3\right]= k(k+1)(k+2)-3k(k-1) [/tex]
which is obviously divisible by 6.