https://r2.erweima.ai/mathbot/image/1726271815415pzg50x89.jpg

The image you uploaded shows a pyramid structure with numbers placed in some boxes. It seems like this puzzle requires us to figure out the missing numbers by following a certain pattern or rule.

The numbers that are visible:
- Top row: 123
- Second row: 37
- Third row: 20
- Fourth row: 14, 0, 112
- Fifth row: 14, 112
- Bottom row: 116

A typical rule in such puzzles is that each number in the next row is derived from the numbers above it, often using addition or subtraction.

### Let's analyze:
- Row 1: 123
- Row 2: 37 (we are likely missing a number here)
- Row 3: 20 (missing number on the right)
- Row 4: 14, 0, 112
- Row 5: 14, 112
- Row 6: 116

The number at the bottom is usually the sum or difference of the two numbers above it, and this pattern likely works for all rows. I will try to calculate the missing values using addition.

Let me calculate the numbers and fill the missing spots.The missing values in the pyramid are calculated as follows:

- **Row 1, Second Number**: \(-86\)
- **Row 2, Second Number**: \(-17\)
- **Row 3, Second Number**: \(-6\)
- **Row 4, First Number**: \(14\) (already known)
- **Row 4, Third Number**: \(112\) (already known)

Thus, the completed pyramid would look like:

- Row 1: \(123\), \(-86\)
- Row 2: \(37\), \(-17\)
- Row 3: \(20\), \(-6\)
- Row 4: \(14\), \(0\), \(112\)
- Row 5: \(14\), \(112\)
- Row 6: \(116\)

Would you like further details or clarification?

Here are some follow-up questions to explore:
1. How would the pattern change if the operations involved multiplication instead of addition?
2. Can you identify other number puzzles that follow different types of progression rules?
3. How would you approach solving this if some numbers were missing in the middle rows?
4. Could this puzzle be solved using a geometric sequence instead of an arithmetic one?
5. How does working backward from the last row help when solving number pyramids?

**Tip:** In puzzles like this, working backward from the bottom row can often make solving easier by revealing patterns.

Determine the missing numbers in the pyramid structure.

Learn how to solve a pyramid puzzle by calculating missing numbers based on the numbers above. This puzzle involves simple addition and subtraction, and is ideal for students in Grades 5-7.

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