Answer:
B. On a coordinate plane, 4 points are plotted. The points are (1, 1), (2, 2), (3, 4), (4, 8).
Explanation:
Geometric sequences are those in which each successive term is equal to the previous term multiplied by a certain common ratio.
In terms of graphs, we usually look at the y-values as part of the geometric sequences.
Look at the answer choices:
- A: (1, 1), (2, 3), (3,5), (4, 7), (5, 9)
The y-coordinates are 1, 3, 5, 7, 9. Do they have a common ratio?
3 / 1 = 3
5 / 3 = 1.6666...
Clearly, the ratio isn't common, so it's not A.
- B: (1, 1), (2, 2), (3, 4), (4, 8)
The y-coordinates are 1, 2, 4, 8. Do they have a common ratio?
2 / 1 = 2
4 / 2 = 2
8 / 4 = 2
Yes, the ratio is common, so this is our answer.
- C: (1, 2), (4,4), (9,6)
The y-coordinates are 2, 4, 6. Do they have a common ratio?
4 / 2 = 2
6 / 4 = 1.5
The ratio is not the same, so eliminate C.
- D: (1, 1), (2, 4), (3,9)
The y-coordinates are 1, 4, 9. Do they have a common ratio?
4 / 1 = 4
9 / 4 = 2.25
No, the ratios aren't the same, so D isn't right.
The correct answer is thus B.
~ an aesthetics lover