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 |
Now let's plot these ordered pairs using the horizontal axis for position n and the vertical axis for the term a_n.
All the points lie on the same straight (invisible) line. In order to see this better, we can draw a line through these points.