I really dont know how to solve this problem.
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Originally Posted by santiagos11 I really dont know how to solve this problem. I think you'll get a faster reply if you show the problem in latex
The attached question is: Use induction to prove that $\displaystyle \frac{1}{n} \sum_{i = 1}^n x_i \geq \left( \prod_{i = 1}^n x_i \right)^{1/n}$ for positive integers $\displaystyle n$ and real numbers $\displaystyle x_i$.
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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