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 Sequences https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:introduction-to-arithmetic-sequences/v/arithmetic-sequences 2021-06-30T17:32:39Z Intro to arithmetic sequences Sal introduces arithmetic sequences and their main features, the initial term and the common difference. He gives various examples of such sequences, defined explicitly and recursively. Sal Khan video https://cdn.kastatic.org/googleusercontent/OrgsHeMoJUc6-j5RLRoUIVcaYF-Q39nGk23bLLQKOPj4-e45JJZypOWsNNXFilJ9aITPS6AX4kJKgtfWn7HFcAlI Intro to arithmetic sequences Sal introduces arithmetic sequences and their main features, the initial term and the common difference. He gives various examples of such sequences, defined explicitly and recursively. https://cdn.kastatic.org/ka-youtube-converted/_cooC3yG_p0.mp4/_cooC3yG_p0.mp4 427 Sequences https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:introduction-to-arithmetic-sequences/e/arithmetic_sequences_2 2025-03-01T15:52:37.13987578Z Use arithmetic sequence formulas Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence. Tomer Gal exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sequences-and-series-ncert-new/x0419e5b3b578592a:sequences/v/explicit-formulas-for-arithmetic-sequences-indian-accent 2025-06-03T19:25:43.416794683Z Explicit formulas for arithmetic sequences Sal finds explicit formulas of arithmetic sequences given the first few terms of those sequences. He also explores equivalent forms of such formulas. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Explicit formulas for arithmetic sequences Sal finds explicit formulas of arithmetic sequences given the first few terms of those sequences. He also explores equivalent forms of such formulas. https://cdn.kastatic.org/ka-youtube-converted/2XpSVFqtvYU.mp4/2XpSVFqtvYU.mp4 378 Sequences https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sequences-and-series-ncert-new/x0419e5b3b578592a:sequences/e/topic-level-quiz-exercise-skill-check-math-algebra-i-sequences 2026-04-07T23:55:07.30621384Z Skill check: Sequences A skill check for Sequences Celia La exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sequences-and-series-ncert-new/x0419e5b3b578592a:sequences/e/understanding-sequences 2026-04-07T23:17:37.123726494Z Sequences review Evaluate or analyze sequence according to their explicit or recursive formula. wspeer13 exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:general-sequences/e/evaluating-sequences-in-recursive-form 2025-03-01T15:52:37.13987578Z Evaluate sequences in recursive form Find the first few terms of sequences that are defined recursively. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:general-sequences/v/sequences-and-domain 2022-10-06T23:01:00.745424633Z Sequences and domain We can generate the same sequence with different functions and different domains. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/f363c937-b5e9-4925-968a-e5102b74ddf0_1280_720_base.png Sequences and domain We can generate the same sequence with different functions and different domains. https://cdn.kastatic.org/ka-youtube-converted/TymkzM7J1PY.mp4/TymkzM7J1PY.mp4 376 Sequences https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:general-sequences/e/sequences-domain 2026-04-15T18:10:41.742515092Z Sequences and domain Given the first few terms of a sequence, practice identifying recursive definitions with different indexes that produce the sequence. Jeff Dodds exercise