# Math Help - Evaluation of average values

1. ## Evaluation of average values

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

$\displaystyle$\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...

2. Voila! Take your pick of proofs.

3. Originally Posted by Ackbeet
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!

4. You're welcome. Have a good one!