To determine the missing number in the sequence \( 5, 11, 29, ?, 245, 731, 2189 \), we need to identify the pattern.

### First, let's look at the differences between consecutive terms:
- \( 11 - 5 = 6 \)
- \( 29 - 11 = 18 \)
- \( ? - 29 = ? \)
- \( 245 - ? = ? \)
- \( 731 - 245 = 486 \)
- \( 2189 - 731 = 1458 \)

Notice that the differences between the terms are increasing. We can see that:

- \( 6 \times 3 = 18 \)
- \( 18 \times 3 = 54 \)
- \( 54 \times 3 = 162 \)
- \( 162 \times 3 = 486 \)
- \( 486 \times 3 = 1458 \)

This suggests that the sequence increases by multiples of 3.

Thus, the missing differences should be:
- \( ? - 29 = 54 \), which means the missing term is \( 29 + 54 = 83 \).

So, the sequence is:

\[
5, 11, 29, 83, 245, 731, 2189
\]

Would you like more details on how this pattern was identified?

### Related questions:
1. What is a geometric progression, and how does it differ from this pattern?
2. How can you identify whether a sequence follows an arithmetic or geometric pattern?
3. Can this sequence be expressed as a recursive formula?
4. How do you find missing terms in sequences without a clear multiplication pattern?
5. What are other common types of number sequences?

**Tip**: When identifying patterns in sequences, look for consistent changes, such as differences or ratios between terms, to reveal hidden rules.

Learn how to find the missing term in the sequence 5, 11, 29, ?, 245, 731, 2189 by identifying a multiplicative pattern. This step-by-step guide explains the increasing differences between terms and how to apply a multiplication rule. Suitable for students in Grades 6-8.

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