Question

for any positive integer n proved that n3-n is divisible by 6​

Answer 1

Except for 1... it is true for every positive integer, because if we substitute the value of 1 for n,

n3 - n is not divisible by 6

1`3 - 1

= 1 - 1

= 0, which is not divisible by six...

Other than 1 this condition is true for every +ve integer.

For example:

n = 2

then, 2`3 -2 = 8 - 2 = 6, which is divisible by 6

same in case of 3 and others

if n =3

n3 - n

= 3`3 - 3

= 27 -3

= 24, again divisible by 6

Hope it'll help : )