https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:introduction-to-arithmetic-sequences/v/explicit-and-recursive-definitions-of-sequences 2021-06-30T17:32:35Z Sequences intro Sequences are ordered lists of numbers (called "terms"), like 2,5,8. Some sequences follow a specific pattern that can be used to extend them indefinitely. For example, 2,5,8 follows the pattern "add 3," and now we can continue the sequence. Sequences can have formulas that tell us how to find any term in the sequence. For example, 2,5,8,... can be represented by the formula 2+3(n-1). Sal Khan video https://cdn.kastatic.org/googleusercontent/hVR9ztsfKuZmzNpTPAxmSv9yKwniky9Ud8fk0H9PpjTNOPP7n23hO9EZYV0S4oxKAceRFSgnRrOzuVCTqIW3dJVP Sequences intro Sequences are ordered lists of numbers (called "terms"), like 2,5,8. Some sequences follow a specific pattern that can be used to extend them indefinitely. For example, 2,5,8 follows the pattern "add 3," and now we can continue the sequence. Sequences can have formulas that tell us how to find any term in the sequence. For example, 2,5,8,... can be represented by the formula 2+3(n-1). https://cdn.kastatic.org/ka-youtube-converted/KRFiAlo7t1E.mp4/KRFiAlo7t1E.mp4 498 Introduction to Sequences https://www.khanacademy.org/math/ncert-math-class-9-new/x56891bfac37feca0:predicting-what-comes-next-exploring-sequences-and-progressions/x56891bfac37feca0:introduction-to-sequences/a/sequences 2025-01-08T07:34:55.31479593Z Sequences Formulate the rule for finding the next term in a sequence by looking for patterns article https://www.khanacademy.org/math/revision-term-1-mh-math-class-10/x041ca11815640a3a:week-3/x041ca11815640a3a:arithmetic-progression/e/sequences 2025-01-08T07:34:55.31479593Z Sequences Formulate the rule for finding the next term in a sequence by looking for patterns Khan Academy exercise https://www.khanacademy.org/math/cc-third-grade-math/arithmetic-patterns-and-problem-solving/imp-patterns-in-arithmetic/e/patterns 2022-07-27T14:52:42.217615992Z Math patterns Identify arithmetic patterns (including ones in the addition or multiplication tables), and explain them using properties of operations. Erin Kats exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sequences-and-series-ncert-new/x0419e5b3b578592a:series/v/worked-example-fibonacci-sequence 2025-03-01T15:52:37.13987578Z Worked example - Fibonacci sequence 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! Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Worked example - Fibonacci sequence 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! https://cdn.kastatic.org/ka-youtube-converted/KaF0rEG8ySM.mp4/KaF0rEG8ySM.mp4 346 Introduction to Sequences