For each positive integer n, let `A_n` = The set of all positive multiples of n Then `A_6nnA_10` is

For each positive integer n, let S_n =sum of all positive integers less than or equal on n. Then S_(51) equals

For positive integer n, 10^(n-2) > 81n if .....

If N denotes the set of all positive integers and if : NtoN is defined by f(n)= the sum of positive divisors of n, then f(2^(k).3) , where k is a positive integer, is

If n is a positive integer then .^(n)P_(n) =

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.

For any positive integer n , prove that n^3-n divisible by 6.

If N denotes the set of all positive integers and if f:N rarr N is defined by f(n)= the sum of positive divisors of n then f(2^(k)*3) where k is a positive integer is

If N denotes the set of all positive integers and if f : N -> N is defined by f(n)= the sum of positive divisors of n then f(2^k*3) , where k is a positive integer is