Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Arithemetic Sequences
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Exercise 4 Page 201

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.

Practice makes perfect

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.