A sequence in which each term after the first is formed by adding a fixed number to the preceeding term is called an arithmetic sequence. The fixed number is called the common difference denoted by d.
2, 5, 8, 11, 14 is an arithmetic sequence with common difference 3. (Sequence is asceding)
10, 7, 4, 1, -2, -5 is an arithmetic sequence with common difference -3. (Sequence is descending)
Illustrative Example:
Find the next three terms of the arithmetic progression -5, 1, 7,…
The common difference:
1-(-5)= 6 1-7= 6 so, d= 6
Since the common difference is 6 and the sequence is ascending then add 6 to obtain the next term.
The next three terms are 13, 19, 25.
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MATHEMATICS 10
Non-FictionThis book contains topics from Grade 10 Mathematics. This book might not have all the topics of Mathematics in grade 10 but it will surely help you. Use this as a guide to your Math subject but don't always depend here. Date created: May 8, 2019 Da...
