2014 · Q98
Consider the following:
- 1The arithmetic mean of two unequal positive numbers is always greater than their geometric mean.
- 2The geometric mean of two unequal positive numbers is always greater than their harmonic mean.
Which of the above statements is/are correct?
Elementary MathematicsStatistics
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
For unequal positive numbers, AM > GM > HM strictly.