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Curated by: Khan Academy India - English (11 videos)
What's 8 + 88 + 888 + 8888... ? How is this related to GP? Let's apply what we know about sequence and series to tackle this hairy looking problem. We can solve this problem directly. But we wont! We'll first observe the pattern to figure out the formula for the nth term of this sequence. We'll them break about the nth term and separately add back its components to figure out the sum of n terms. 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 (Find 8 + 88 + 888 + ...) 00:57 Finding the nth term 03:34 Finding sum of n terms 04:35 Breaking apart the sum 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