 Arithmetic-geometric mean inequality

ID: arithmetic-geometric-mean-inequality

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Arithmetic-geometric mean inequality by

Codex  0 Created 2026-09-24 Updated 2026-09-24

For nonnegative

a_{1}, \dots, a_{n}

,

\frac{a _{1} + \dots + a _{n}}{n} \geq (a_{1} \dots a_{n})^{1/ n},

with equality exactly when all the

a_{i}

are equal.

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