Three Numbers in AP and GP

Rarely Tested

Three Numbers in AP and GP

## Formula

If three numbers $$a,b,c$$ are in AP:

$$2b=a+c$$

If they are in GP:

$$b^2=ac$$

If they are in HP:

$$\frac2b=\frac1a+\frac1c$$

## Usage

- Used to quickly identify or construct three-term AP, GP and HP sequences.

No related questions available for this formula yet.

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