NUMBER SEQUENCES
1. Introduction
A number sequence is an ordered list of numbers governed by a pattern or rule. Each number in a sequence is called a term.
- An infinite sequence continues indefinitely.
- A finite sequence has an end.
2. Arithmetic Sequences
An arithmetic sequence is formed by adding or subtracting a constant value.
| 1st Term | Rule | First Five Terms |
|---|---|---|
| 3 | Add 6 | 3, 9, 15, 21, 27 |
| 8 | Subtract 2 | 8, 6, 4, 2, 0 |
| 12 | Add 7 | 12, 19, 26, 33, 40 |
3. Geometric Sequences
A geometric sequence is formed by multiplying or dividing by the same number. This number is called the common ratio.