The Arithmetic-Geometric Mean Inequality (I)

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The arithmetic-geometric mean inequality: , for .


The figure shows that , therefore .


Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA



Reference: D. Schattschneider, "Proof without Words: The Arithmetic Mean-Geometric Mean Inequality," Mathematics Magazine, 59(1), 1986 p. 11.

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