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Curated by: Khan Academy India - English (11 videos)
Let's get rigorous and solve two proof based problems from the topic GP. The first one asks to figure out the ratio of sum of first n terms of a GP to the sum of next n terms. This problem teaches us how to move from 'what we know' to 'what we need'. The second problem asks us to figure out the product of first n terms. You read it right - not the sum, but the product. 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--1) Timestamps: 00:00 Problem 1 (Figuring out sum of next n terms) 00:34 Simplifying the language of the problem 02:04 Magical step (What we need from what we know) 02:29 Solution 1 (Expanding and simplifying) 04:00 Problem 2 (Finding the product of n terms) 04:26 Observing the pattern 06:04 Solution 2 (Expanding and simplifying) 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