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Math Help - an induction proof

  1. #1
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    an induction proof

    I really dont know how to solve this problem.
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  2. #2
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    Quote Originally Posted by santiagos11 View Post
    I really dont know how to solve this problem.
    I think you'll get a faster reply if you show the problem in latex
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  3. #3
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    The attached question is: Use induction to prove that

    \frac{1}{n} \sum_{i = 1}^n x_i \geq \left( \prod_{i = 1}^n x_i \right)^{1/n}

    for positive integers n and real numbers x_i.
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  4. #4
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    I understand the proof for n=2^k, for k = 0,1,2,...that is for n = 1,2,4,8,...
    But then how does one proceed to prove for n = 0,1,2,...
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