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\(\sqrt[n]{a_{1} * a_{2} * a_{3} * \ldots\ldots\ a_{n}} = \) ?

  • A.Arithmetic mean
  • B.Absolute mean
  • C.Geometric mean
  • D.Harmonic mean

Answer: C

The expression is the geometric mean.

The geometric mean of \(n\) positive values is the \(n\)th root of their product:

\[ G = \sqrt[n]{a_{1} a_{2} a_{3} \cdots a_{n}} \]

For example, the geometric mean of 2 and 8 is \(\sqrt{16} = 4\). It suits growth rates and ratios.

The arithmetic mean adds the values and divides by \(n\); the harmonic mean is \(n\) divided by the sum of the reciprocals. 'Absolute mean' is not a standard average.

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