6. Arithemetic Sequences
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Make a table by pairing each term with its position. Then plot these ordered pairs.
Graph:
What do you notice? The points lie on the same line.
Let's make a table to organize the given sequence terms as ordered pairs.
| Position (n) | Term (a_n) |
|---|---|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
All the points lie on the same straight line. In order to see this better, we can draw a line through the points.