n(n^(2)+5)" divisible by "6

prove that n(n^(2)+5) is divisible by 6, for each natural number n.

prove that n(n^(2)+5) is divisible by 6, for each natural number n.

Prove each of the statements by the principle of mathematical induction : n(n^2 + 5) is divisible by 6, for each natural number n.

If m and n are integers divisible by 5,which of the following is not necessarily true? m+n backslash is divisible by 10 (b) m-n is divisible by 5m^(2)-n^(2) is divisible by 25 (d) None lof these

(a) P(n):n(n+1)(n+2) is divisible by 6,then find P(3) .

Let P(n) : n(n+1)(n+2) is divisible by 6. Determine whether the statement is true or false, when n=3 and n=5. Justify your answer.

For any positive integer n,prove that n^(3)-n is divisible by 6

For any positive integer n prove that n^(3)-n is divisible by 6

Show that 7^(n) +5 is divisible by 6, where n is a positive integer