AbsoluteValue
Member
The AM-GM inequality states that for any n positive real numbers a1, a2, a3, … an:
![](https://latex.codecogs.com/png.latex?\bg_white \frac{a_{1}+a_{2}+...+a_{n}}{n}%20\geq%20\sqrt[n]{a_{1}a_{2}...a_{n}})
Prove that:
![](https://latex.codecogs.com/png.latex?\bg_white (n+1)^n\geq%202^{n}n!)
Can anyone prove this? It is really tricky but once you get it is easy to solve.
Prove that:
Can anyone prove this? It is really tricky but once you get it is easy to solve.
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