If the product of `n` positive numbers is `n^n`. Then their sum is

If the product of n positive number is unity, then their sum is

Product of n positive number is unity. The sum of these numbers can not be less than

The sum of first n numbers is -

If the sum of first n natural numbers is 1/5 times the sum of their squares , then the value of n is

If a_1,a_2,.....a_n are positive real number whose product is a fixed number c, then the minimum value of a_1+a_2+......+a_(n-1)+a_n is

Write down the contrapositive of the following " if ………., then ……" implications : If a positive integer N is divisible by 9 , then the sum of the digits in N is divisible by 9 .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If the sum of digits in a positive integer n is divisible by 9 , then the number is divisibel by 9 q : If a positive integer n is divisible by 9 , then the sum of the digits in n is divisible by 9 .

Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+-5 taking two at a time.

If a_(1),a_(2),a_(3),a_(4),...,a_(n) are n positive real numbers whose product is a fixed number c, then the minimum value of a_(1)+ a_(2) + ...+a_(n-1)+2a_(n) is-

If n is a positive integer, show that, in the expansion of (1+x)^(n) the sum of the coefficents of terms in the odd positions is equal to the sum of the cofficients of term in the even positions and each sum is equal to 2^(n-1) .