Finding the general rule of a given arithmetic sequence [FASTEST WAY] | Pure Mathematics 9709

SUBJECT AREA: Algebra, IGCSE Maths (0580), AS/A Level Maths - Pure Mathematics 1 (9709)

TOPIC: Sequences and Series

PREPREQUISITES: Basic Concepts in Arithmetic Sequence or Progression

This video is focused on FASTEST WAY or SHORTCUT WAY of finding the general rule for the nth term of a given arithmetic sequence or arithmetic progression. This is another video in the series of math tutorial videos about sequences and series. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The video starts with a quick recall of the basic concepts of arithmetic sequences or arithmetic progressions. The recall includes the terms and notations for arithmetic sequences such as the nth term, first term, common difference and the like. It uses examples for easier recall. An example is presented at the beginning showing the fastest (shortcut) way of finding the general rule for the nth term of a given arithmetic sequence. The answer is also verified using the nth term formula an = a1 + (n - 1)d. The shortcut (fastest way) is also shown from where it came from. Few items are given for you to practice. The answers are shown at the end for you to check if you got the correct answers. The detailed calculations in finding the general term (fastest way) for each are also shown. A summary of the processes in finding the general rule for the nth term of a given arithmetic sequence (the fastest way or shortcut) is shown at the end. 🕘Video Sections🕘 0:00 Intro 0:39 Playlist of math tutorial videos and math proofs & derivations 1:40 Contents of the video 2:02 Quick recall of the basic concepts of arithmetic sequences 3:13 Formula for the nth term of any arithmetic sequence 3:43 Example of finding the general rule using the formula 4:58 Fast way of finding the general rule for the nth term of a given arithmetic sequence or progression 6:00 Explanation for the source of the shortcut in finding the general rule of a given arithmetic sequence 6:47 Practice exercise on finding the general rule of a given arithmetic sequence or progression 12:00 Summary of contents 12:22 Thank you 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

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