Multiple Choice Question (MCQ)

What is the relation between arithmetic mean (AM) and geometric mean (GM)?

  1. AM ≥ GM

  2. ×

    AM = GM

  3. ×

    AM ≤ GM

Collected in the board: Inequality

Steven Zheng Steven Zheng posted 3 weeks ago


Answer

  1. AM: \dfrac{a+b}{2}


    GM: \sqrt{ab}


    \dfrac{a+b}{2}≥\sqrt{ab}


    Therefore,

    AM ≥ GM

Steven Zheng Steven Zheng posted 3 weeks ago

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