This video is focused on finding the sum of a given arithmetic series or the sum of the terms of an 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 following:
1) Basic concepts of arithmetic sequence or arithmetic progression
🎥 [ Ссылка ]
2) nth term formula for an arithmetic sequence or progression
🎥 [ Ссылка ]
3) Fastest way of finding the common difference of an arithmetic sequence or progression given any two of its terms
🎥 [ Ссылка ]
Various examples are presented at the beginning showing two different ways of finding the sum of a given arithmetic series. All calculations and workings are shown in a step-by-step manner. You may use any of these two formulas presented - whichever is easier to use based on the given in the problem.
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 sum for each arithmetic series are also shown.
A homework is also given for you to use as independent practice in finding the sum of the terms of an arithmetic sequence or arithmetic progression. A summary of the process in finding the sum of a given arithmetic series is presented at the last part of the video.
🕘Video Sections🕘
0:00 Intro
0:53 Playlist of math tutorial videos about sequences and series
2:25 Content of the video
3:08 Quick recall of the basic concepts of arithmetic sequences
4:15 Fastest way of finding the common difference given any two terms
6:09 Basic concepts/definition of arithmetic series
9:52 Formulas in finding the sum of arithmetic series
10:28 Examples of finding the sum of a given arithmetic series
16:48 Practice exercise on finding the sum of the terms of an arithmetic sequence or arithmetic progression
22:55 Homework in finding the sum of arithmetic series or sum of the terms
22:31 Summary of contents
🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode.
Check out other math videos:
🎥 Introduction to Arithmetic Sequence: [ Ссылка ]
🎥 Finding the Common Difference the Fastest Way: [ Ссылка ]
🎥 Derivation of the nth term Formula of Arithmetic Progression: [ Ссылка ]
▶️PLAYLIST Math Shorts: [ Ссылка ]
▶️PLAYLIST Sequences and Series: [ Ссылка ]
▶️PLAYLIST Math Tutorial Videos: [ Ссылка ]
▶️PLAYLIST Videos on Math Proofs & Derivations: [ Ссылка ]
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