https://file.aiquickdraw.com/mathbot/file/1729536389204m02n2v8r.jpg

The image shows a pyramid puzzle where the task is to find the missing number at the top of the pyramid. The pyramid structure works by summing pairs of adjacent numbers from the lower row to get the number in the row above. 

Let’s analyze it row by row:

1. The bottom row is: 2, 1, 3, 4, 3, 4, 1.
2. The next row is formed by summing pairs of adjacent numbers from the bottom row:
   - \( 2 + 1 = 3 \)
   - \( 1 + 3 = 4 \)
   - \( 3 + 4 = 7 \)
   - \( 4 + 3 = 7 \)
   - \( 3 + 4 = 7 \)
   - \( 4 + 1 = 5 \)
   So, the second row is: 3, 4, 7, 7, 7, 5.

3. The next row is formed similarly:
   - \( 3 + 4 = 7 \)
   - \( 4 + 7 = 11 \)
   - \( 7 + 7 = 14 \)
   - \( 7 + 7 = 14 \)
   - \( 7 + 5 = 12 \)
   So, the third row is: 7, 11, 14, 14, 12.

4. The fourth row:
   - \( 7 + 11 = 18 \)
   - \( 11 + 14 = 25 \)
   - \( 14 + 14 = 28 \)
   - \( 14 + 12 = 26 \)
   So, the fourth row is: 18, 25, 28, 26.

5. The fifth row:
   - \( 18 + 25 = 43 \)
   - \( 25 + 28 = 53 \)
   - \( 28 + 26 = 54 \)
   So, the fifth row is: 43, 53, 54.

6. The top row will be:
   - \( 43 + 53 = 96 \)
   - \( 53 + 54 = 107 \)
   So, the final row has the number 107 as the missing number at the top.

Thus, the missing number is **107**.

Would you like a more detailed breakdown or have any questions?

Here are 5 related questions:
1. Can you solve the pyramid puzzle using a different pattern?
2. What happens if the sums were products instead?
3. How would the pyramid look with subtraction instead of addition?
4. What mathematical patterns can be generalized from this puzzle?
5. Can you create your own pyramid with different rules?

**Tip:** When solving puzzles like this, observe patterns in how numbers interact across rows to detect consistent operations.

Find the missing number in the pyramid puzzle where the numbers from bottom to top are given as follows: [2, 1, 3, 4, 3, 4, 1], [4, 5, 8, 6], [11, 15, 16], [29, 34], and the missing number at the top.

Solve the pyramid puzzle by identifying the missing number through adjacent number summation. This detailed solution covers how to compute step-by-step using simple addition. Suitable for students in Grades 5-8.

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