geometric progression

Question

The geometric mean of 4 and 9 is

RankGuru · Accepted Answer

1. **Definition of GM**: The geometric mean of two positive numbers $a$ and $b$ is the number $G$ such that $a, G, b$ form a GP.
2. **Formula**: $G = \sqrt{ab}$.
3. **Calculation**:
   - $G = \sqrt{4 	imes 9} = \sqrt{36} = 6$.
4. **Result**: The GM is 6.

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