Which graph represents a geometric sequence? On a coordinate plane, 5 points are plotted. The points are (1, 1),(2, 3), (3,5), (4, 7), (5, 9). On a
coordinate plane, 4 points are plotted. The points are (1, 1), (2, 2), (3, 4), (4, 8).
On a coordinate plane, 3 points are plotted. The points are (1, 2), (4,4), (9,6).
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 4), (3,9).

B. On a  coordinate plane, 4 points are plotted. The points are (1, 1), (2, 2), (3, 4), (4, 8).

Step-by-step 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

b

step-by-step explanation: