Finding the specific terms of an arithmetic sequence given any 2 of its terms[Part 4]|Pure Math 9709

This is another video in the series of math tutorial videos about sequences and series. This video is focused on finding the specific or specified nth term of an arithmetic sequence or arithmetic progression given any two of its terms using the shortcut method. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths).

The video starts with a quick recall with examples of the following:
1) Basic concepts of arithmetic sequence or arithmetic progression
learn more here: https://www.youtube.com/watch?v=luG7r...
2) The fastest way of finding the common difference of an arithmetic sequence given any two of its terms: https://www.youtube.com/watch?v=AIHmppizXK8

An example is presented at the beginning showing the detailed shortcut way of finding the specific or specified nth term of an arithmetic sequence given any two of its terms. The shortcut method involves the use of the common difference of the sequence. All calculations and workings are shown in a step-by-step manner.

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 common difference and the specified nth term for each are also shown.

A summary of the process in finding the specified nth term of an arithmetic sequence or arithmetic progression given any two of its terms is shown at the end.

A homework is also given at the end of the video for your independent practice. You may write your answers on the comment section below so I could verify them later.

Video Sections
0:00 Intro
0:50 Playlist of math tutorial videos about sequences and series
1:57 Contents of the video
2:17 Prerequisite concepts needed
2:42 Basic concepts of arithmetic sequence or arithmetic progression
3:50 Fastest way of finding the common difference of an arithmetic sequence given any two terms
5:38 Example in finding the specific terms of an arithmetic sequence or arithmetic progression given any two of its terms using the shortcut method
9:40 Practice exercise in finding the specific terms of an arithmetic sequence or progression given any 2 terms using the common difference only
13:58 Answers and calculations of the practice exercise on finding the specific or specified term of a given arithmetic sequence or progression given any 2 terms using the shortcut method
14:39 Homework on finding the specific terms of an arithmetic sequence
15:13 Summary of contents
15:49 Thank you

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