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The question asks which table corresponds to a quadratic relationship in the differences between the second column values (נספרים בתחקום), which is related to a quadratic progression. 

Here’s how we can solve it:

1. **Check the differences between consecutive values** in the column titled "נספרים בתחקום" in each table.
2. **Check the second differences** of those differences. If the second differences are constant, the table follows a quadratic relationship.

Let's analyze each table.

### Table 1:
- Values in the column: 10, 12, 13, 14
- Differences: 
  - 12 - 10 = 2
  - 13 - 12 = 1
  - 14 - 13 = 1
- Second differences:
  - 1 - 2 = -1
  - 1 - 1 = 0

Not constant, so **Table 1** is not quadratic.

### Table 2:
- Values in the column: 1, 3, 6, 10
- Differences: 
  - 3 - 1 = 2
  - 6 - 3 = 3
  - 10 - 6 = 4
- Second differences:
  - 3 - 2 = 1
  - 4 - 3 = 1

Second differences are constant, so **Table 2** follows a quadratic relationship.

### Table 3:
- Values in the column: 5, 8, 13, 20
- Differences:
  - 8 - 5 = 3
  - 13 - 8 = 5
  - 20 - 13 = 7
- Second differences:
  - 5 - 3 = 2
  - 7 - 5 = 2

Second differences are constant, so **Table 3** follows a quadratic relationship.

### Table 4:
- Values in the column: 9, 10, 11, 12
- Differences:
  - 10 - 9 = 1
  - 11 - 10 = 1
  - 12 - 11 = 1
- Second differences:
  - 1 - 1 = 0
  - 1 - 1 = 0

Second differences are constant, but this progression is linear, not quadratic.

### Conclusion:
Both **Table 2** and **Table 3** show a quadratic progression, but **Table 2** represents a more typical quadratic growth with an increasing second difference of 1. Therefore, **Table 2** is the correct one for a quadratic pattern.

Would you like further explanation?

### 5 Related Questions:
1. How can you differentiate between linear and quadratic progressions?
2. What role do second differences play in identifying quadratic functions?
3. How can you identify a cubic function based on differences?
4. Can you give examples of real-world quadratic relationships?
5. How would you generalize this method for higher-degree polynomials?

### Tip:
When analyzing sequences for quadratic relationships, always focus on second differences; constant second differences indicate a quadratic nature.

Which table corresponds to a quadratic relationship in the differences after adding 5 minutes to each task?

Learn how to identify quadratic relationships by analyzing second differences in sequences. This problem covers key concepts like quadratic progression, sequences, and how to determine second differences. Suitable for students in Grades 7-9.

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