Question

Prove that n-n is divisible by 6 for any positive integer n.​

Answer 1

Answer:

n-n/6

= 0/6

= 0

hence proved that n-n is divisible by 6.

Answer 2

Answer:

For any Positive integer n, prove that n3−n divisible by 6. ... n=3p or n=3p+1 or n=3p+2, where p is some integer. If n=3p, then the number is divisible by 3. If n=3p+1, then n−1=3p+1−1=3p.

SO, It is proved that n-n is divisible by 6 for any positive integer n.

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