Question

What is the common ratio of this sequence?
the main points are (0,3) (1,3.6) (2,4.32) (3,5.184)
(1 point)

Answer 1

To determine the common ratio of the given sequence, we first need to look at the y-values of the points:

- For \( x = 0\), \( y = 3 \)
- For \( x = 1\), \( y = 3.6 \)
- For \( x = 2\), \( y = 4.32 \)
- For \( x = 3\), \( y = 5.184 \)

We can compute the ratios of successive terms to find a common ratio:

1. **From \( y_0 \) to \( y_1 \)**:
\[
\text{Ratio} = \frac{y_1}{y_0} = \frac{3.6}{3} = 1.2
\]

2. **From \( y_1 \) to \( y_2 \)**:
\[
\text{Ratio} = \frac{y_2}{y_1} = \frac{4.32}{3.6} = 1.2
\]

3. **From \( y_2 \) to \( y_3 \)**:
\[
\text{Ratio} = \frac{y_3}{y_2} = \frac{5.184}{4.32} = 1.2
\]

Since all of these ratios are equal to \( 1.2 \), we conclude that the common ratio of the sequence is

\[
\boxed{1.2}
\]