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Curated by: Khan Academy India - English (11 videos)
Find the value of n such that something super hairy becomes the GM of a and b. Let's get our hands dirty and tackle this one! Although this problem is typically categorised as a GM problem, the only place where we need the GM formula is the first step. After that, we leverage a number of prerequisites from linear equations, exponents, roots of a solution, etc. This is what truly makes this problem challenging. 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 Problem (Condition such that given term is a GM) 00:43 Solution (Plugging the formula and simplifying) 03:20 Evaluating two different scenarios 03:43 Trivial solution (Numbers are equal) 05:30 Finding the value of n 06:45 Verification (Plugging back n = -1/2) 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