Mathematics
8 years ago

New proof reveals connection between arithmetic and geometric means of quantities.

International Journal of Mathematical Education in Science and Technology
The arithmetic‐geometric mean inequality: a short proof
Kong‐Ming Chong

Paper Summary

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The article presents a simple way to prove a mathematical inequality that connects the average and middle value of a set of positive numbers. The researchers use a step-by-step method to show that the average of a group of numbers is always greater than or equal to their middle value. This proof involves comparing pairs of numbers with the same product.