The sequence provided appears to have a pattern that is not immediately obvious. To analyze it, let's break down the sequence and see if we can identify any relationships between the terms.

Given sequence: \(1, 1, ?, ?, 20, 90, 28, 720, 35\)

### Analysis:
1. The first term is \(1\).
2. The second term is also \(1\).
3. The third and fourth terms are unknown (\(?\) and \(?\)).
4. The fifth term is \(20\).
5. The sixth term is \(90\).
6. The seventh term is \(28\).
7. The eighth term is \(720\).
8. The ninth term is \(35\).

One approach to analyze the pattern is to look at possible relationships between the terms, such as differences between consecutive terms, ratios, or factorials.

### Let's consider the possibility that the sequence might be connected to factorials or combinations:
- \(1\) is \(1!\)
- \(1\) is also \(1!\)
- \(20\) can be part of a factorial or combinatorial calculation.
- \(90\), \(28\), \(720\), and \(35\) could also relate to factorials or combinatorial numbers.

However, without a clearer pattern, it could also be a non-mathematical pattern or a mix of different rules.

### Given the sequence:
One possible method is to look for a rule that could be applied:
- \(20\) might be \(5!\) divided by some number.
- \(90\) might be \(6!\) divided by some other factor.
- \(720\) is clearly \(6!\) itself.

But since this approach doesn't yield a clear pattern for the missing terms, let's try another.

### Second Possibility:
Considering that the numbers don't align neatly with simple arithmetic or geometric progression, we might be looking at a pattern that involves alternating rules or the use of a specific sequence like the Fibonacci series, but modified.

Given that the sequence is likely custom, and without a clear formula, a guess for the missing terms can be:
- The missing third term might be connected to the factorial of a small number.
- The missing fourth term might be another small factorial or a multiple/division.

### Estimated Sequence (Guesses):
- \(1, 1, 4!, 3!, 20, 90, 28, 720, 35\)
- \(1, 1, 24, 6, 20, 90, 28, 720, 35\)

These guesses fit some possible factorial sequences or operations.

### Conclusion:
Since the sequence has non-obvious or mixed rules, without more context, the exact missing numbers might require a different or specialized pattern analysis. However, the missing terms could plausibly be \(24\) and \(6\).

Would you like to explore more about possible patterns, or have any specific questions?

### Related Questions:
1. What are factorials, and how are they calculated?
2. Can sequences have alternating patterns, and how to identify them?
3. What is the Fibonacci sequence, and how is it related to sequences?
4. How are combinatorial numbers related to sequences?
5. What are the common types of number sequences in mathematics?
6. How to identify patterns in a sequence?
7. What are arithmetic and geometric progressions?
8. How can sequences be related to real-life applications?

**Tip:** When analyzing a sequence, always consider whether it might involve factorials, arithmetic or geometric progressions, or even a mix of different mathematical operations.

Explore the analysis of a sequence with missing terms (1, 1, ?, ?, 20, 90, 28, 720, 35). Understand the patterns involving factorials, combinatorial numbers, and more. Discover how to identify sequences in mathematical contexts. Suitable for Grades 7-9.

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