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Question

If the product of n positive numbers is nn, then their sum is


  1. never less than 

  2. equal to n + 

  3. greater than n + 2

  4. always greater than  + 1


Solution

The correct option is A

never less than 


Let a1a2, ---------an be n positive integers such that their product a1a2,-----------annn. We know that

AM GM HM

Taking AM GM

a1+a2++ann    (a1,a2,an)1n

a1a2+ ---------+an  n2

So, A is right option

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