24, 34, ....., ....., 64, 128, 113, 124, 248

To find the missing numbers in the sequence \(24, 34, \dots, \dots, 64, 128, 113, 124, 248\), we need to identify the pattern.

Let's analyze the differences between consecutive terms:

1. \(34 - 24 = 10\)
2. \(64 - 34 = 30\)
3. \(128 - 64 = 64\)
4. \(113 - 128 = -15\)
5. \(124 - 113 = 11\)
6. \(248 - 124 = 124\)

It seems the pattern in differences between consecutive numbers is not consistent, so let's break the sequence into parts and see if each section follows a different pattern.

**First Section:**
- \(24, 34\) (difference of \(10\))
- **We need to guess the next two numbers.**

**Second Section:**
- \(64, 128\) (doubling)
- \(128, 113\) (subtracting \(15\))

**Third Section:**
- \(113, 124\) (adding \(11\))
- \(124, 248\) (doubling)

### Possible Patterns:
1. **First Section:**
   - Given \(24\) and \(34\), the difference is \(10\).
   - If we assume an arithmetic progression with a difference of \(10\), the next terms would be \(34 + 10 = 44\) and \(44 + 10 = 54\).
  
So, the full sequence would be:
\[24, 34, 44, 54, 64, 128, 113, 124, 248\]

Does this make sense to you, or would you like to explore a different pattern? 

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### Related Questions:
1. What are the different types of number sequences?
2. How do you identify an arithmetic progression?
3. Can you explain geometric progression?
4. What are the methods to find missing numbers in a sequence?
5. How would you calculate the sum of an arithmetic series?
6. What is the common difference in an arithmetic progression?
7. Can sequences have mixed patterns?
8. How do you solve non-linear sequences?

**Tip:** Always check the difference or ratio between terms when identifying patterns in a sequence.

Learn how to identify patterns in a number sequence and solve for missing numbers. This problem involves analyzing differences and identifying arithmetic and geometric progressions. Suitable for students in Grades 7-9.

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