Question

What is the common ratio of this sequence

0,3. 1,3.6. 2,4.32. 3,5.184

Answer 1

To find the common ratio of the sequence you've provided, we first need to identify the pattern between the terms.

The sequence you provided seems to have the following terms:

1. \( 0 \)
2. \( 3 \)
3. \( 1 \)
4. \( 3.6 \)
5. \( 2 \)
6. \( 4.32 \)
7. \( 3 \)
8. \( 5.184 \)

However, the formatting of the sequence is unclear regarding its structure. It looks like it contains pairs or sequences, so I will analyze what's presented.

If we consider the terms as:

1. \( 3 \)
2. \( 3.6 \)
3. \( 4.32 \)
4. \( 5.184 \)

We will calculate the ratios between consecutive terms to find a common ratio:

- From \( 3 \) to \( 3.6 \):
\[
\frac{3.6}{3} = 1.2
\]

- From \( 3.6 \) to \( 4.32 \):
\[
\frac{4.32}{3.6} = 1.2
\]

- From \( 4.32 \) to \( 5.184 \):
\[
\frac{5.184}{4.32} = 1.2
\]

Since the ratio is the same for each pair, the common ratio for the sequence \( 3, 3.6, 4.32, 5.184 \) is \( 1.2 \).

Please clarify if there was any misunderstanding or if the sequence should be organized differently!