Inserting Geometric Means

Inserting Geometric Means

## Formula

If $$n$$ geometric means are inserted between positive numbers $$a$$ and $$b$$, then:

$$r=\left(\frac ba\right)^{1/(n+1)}$$

The inserted means are:

$$ar,\ ar^2,\ldots,ar^n$$

## Usage

- Used to insert a specified number of geometric means between two positive numbers.