# Category:Geometric Mean

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This category contains results about **Geometric Mean**.

Definitions specific to this category can be found in Definitions/Geometric Mean.

Let $x_1, x_2, \ldots, x_n \in \R_{>0}$ be (strictly) positive real numbers.

The **geometric mean** of $x_1, x_2, \ldots, x_n$ is defined as:

- $\ds G_n := \paren {\prod_{k \mathop = 1}^n x_k}^{1/n}$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### C

- Cauchy's Mean Theorem (6 P)

### G

- GM-HM Inequality (3 P)

## Pages in category "Geometric Mean"

The following 7 pages are in this category, out of 7 total.