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Math Help - Evaluation of average values

  1. #1
    Member Pranas's Avatar
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    Evaluation of average values

    Provided \[{x_i} > 0\] where \[i = \overline {1,n} \]

    I am asked to prove
    \displaystyle\[\sqrt[n]{\prod\limits_{i = 1}^n {{x_i}} } \le \frac{{\sum\limits_{i = 1}^n {{x_i}} }}{n}\]

    Since this seems to be a pretty specific problem - either you know the concept or you don't - I do not have any of my own thoughts to share...
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  2. #2
    A Plied Mathematician
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    Voila! Take your pick of proofs.
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  3. #3
    Member Pranas's Avatar
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    Quote Originally Posted by Ackbeet View Post
    Voila! Take your pick of proofs.
    Thanks for pointing out my initial mistype and now for solution.
    Haven't had too much luck with university problems using Google so far, but that's still a shame I didn't bother to try this time.
    Well, thanks again!
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  4. #4
    A Plied Mathematician
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    You're welcome. Have a good one!
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