https://file.aiquickdraw.com/mathbot/file/1726451851830ebfmwy5c.jpg

The problem you uploaded shows a geometric sequence with missing terms. The sequence starts as follows:

\[ 3, \_ , 6, \_ , 12, \_ , 24 \]

Let's find the missing terms. 

In a geometric sequence, each term after the first is found by multiplying the previous term by a constant ratio \(r\).

1. From 6 to 12, the ratio \(r\) is:

\[
r = \frac{12}{6} = 2
\]

2. From 12 to 24, the ratio is:

\[
r = \frac{24}{12} = 2
\]

So, the common ratio \(r = 2\).

Now, let's find the missing terms:

- The second term: The first term is 3, so the second term is \(3 \times 2 = 6\).
- The fourth term: The third term is 6, so the fourth term is \(6 \times 2 = 12\).
- The sixth term: The fifth term is 12, so the sixth term is \(12 \times 2 = 24\).

Thus, the complete sequence is:

\[ 3, 6, 6, 12, 12, 24 \]

Would you like any additional details on this solution?

### 5 Relative Questions:
1. What is a geometric sequence, and how does it differ from an arithmetic sequence?
2. How do you find the common ratio in a geometric sequence?
3. How can you find the general term for any geometric sequence?
4. Can the common ratio in a geometric sequence be a fraction?
5. What happens if the common ratio is negative in a geometric sequence?

### Tip:
When dealing with sequences, always verify the common ratio or difference to ensure consistency across the sequence.

Here is a geometric sequence: 3, _, 6, _, 12, _, 24. Find the missing terms.

Solve a geometric sequence problem by finding the missing terms. The sequence includes 3, 6, 12, and 24, with a constant ratio of 2 between each term. This problem teaches how to calculate the common ratio and complete the sequence. Suitable for Grades 7-9.

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