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BITSAT2014MathematicsSequences and SeriesActual

The product of n positive numbers is unity, then their sum is:

Options

  1. Aa positive integer
  2. Bdivisible by n
  3. Cequal to n+ 1 n
  4. Dnever less than n

Correct answer

D. never less than n

Step-by-step solution

Since, product of n positive number is unity. x₁ x₂ x₃ x_ n =1 Using A.M. GM array l x₁+x₂+ . .+x_ n n (x₁ x₂ x_ n )^ 1 n x₁+x_ n + +x_ n n(1)^ 1 n [ From eq ^ n ( i ) ] array

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