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algebra precalculus - Intuition and derivation of the geometric mean - Mathematics Stack Exchange

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I've run through a bunch of searches, especially here on SO, but I simply couldn't find something that answers a question that has been on my mind lately. How was the geometric mean derived? What i...

algebra precalculus - Intuition and derivation of the geometric mean - Mathematics Stack Exchange Stack Internal Knowledge at work Bring the best of human thought and AI automation together at your work. Explore Stack Internal Intuition and derivation of the geometric mean Ask Question Asked 14 years, 1 month ago Modified 11 years, 1 month ago Viewed 8k times 16 $\begingroup$ I've run through a bunch of searches, especially here on SO, but I simply couldn't find something that answers a question that has been on my mind lately. How was the geometric mean derived? What is the intuition behind i

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