Question

foe any positive integer n. to prove n^3-n is not divisible by 6.​

Answer 1

Answer:

→if n=1,

n³-n=(1)³-1=1-1=0

0 is divisible by 6.

→if n=2,

(2)³-2=8-2=6

6 is divisible by 6.

→if n=3,

(3)³-3=27-3=24

24 is divisible by 6.

→if n=4,

(4)³-4=64-4=60

60 is divisible by 6.

so, we conclude that n³-n is divisible by 6 for every positive integer n.

Hence, proved.............................™✌️✌️