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Curated by: Khan Academy India - English (11 videos)
Given the recursion formula for Fibonacci sequence, how do we generate the list of first few numbers. We first try playing with the recursion formula but then quickly realise the pattern. Every term is equal to the sum of the previous two. The question asks us to find the ratio of consecutive terms which means we briefly get to say hello to the golden ratio! 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:series/e/arithmetic_series) Timestamps: 00:00 Problem (recursion formula given) 00:42 Finding the first 2 terms 01:32 Finding the next 3 terms 03:26 Using the pattern to find the next few terms 03:52 Evaluating the ratios of consecutive terms 05:06 Say hellow to the golden ratio! 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