6. Arithmetic Sequences
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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.
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.