# Evaluation of average values

• Jan 11th 2011, 09:36 AM
Pranas
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...
• Jan 11th 2011, 09:52 AM
Ackbeet
Voila! Take your pick of proofs.
• Jan 11th 2011, 10:10 AM
Pranas
Quote:

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!
• Jan 11th 2011, 10:11 AM
Ackbeet
You're welcome. Have a good one!