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Curated by: Khan Academy India - English (11 videos)
What is the relationship between AM and GM? Which one is greater than the other? Let's find out. We first tackle a concrete example where we realise that AM is greater. We then break down a rigorous proof showing that that's almost always the case. Finally, we zoom in on the corner case where both AM and GM are equal. We realise that the numbers themselves have to be equal for this to happen! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:sequences-and-series-ncert-new/xea4762213f311c5e:geometric-progression/e/geometric-series) Timestamps: 00:00 Concrete example (comparing the means) 01:40 Proof for AM GM inequality 03:31 Edge case (Cases when AM = GM) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta