Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
6. Arithmetic Sequences
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Exercise 6 Page 211

Make a table by pairing each term with its position. Then, plot these ordered pairs.

Graph:

What Can Be Noticed? The points lie on the same line.

Practice makes perfect

Let's make a table to organize the terms of the given sequence as ordered pairs.

Position (n) Term (a_n) Ordered Pair
1 1 ( 1, 1)
2 0.8 ( 2, 0.8)
3 0.6 ( 3, 0.6)
4 0.4 ( 4, 0.4)

Now, let's plot these points. In the graph, the horizontal axis will represent the position n and the vertical axis the term a_n.

We can see that the points are collinear. This means that they lie on the same line.