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Problem Description:

The image shows a grid of 20 cells, each containing a colored box with a number inside. Some cells are filled with numbers, while others are empty. The task is to determine the missing numbers in the empty cells based on the pattern or sequence observed in the filled cells.

Observing the Filled Cells:

The filled cells contain the following numbers:
- Row 1: 2, 5
- Row 2: 7, 8, 10
- Row 3: 15, 18
- Row 4: 22

Step-by-Step Solution:

#### Step 1: Identify the Pattern
To solve this problem, we need to identify any patterns or sequences in the given numbers. Let's examine the numbers row by row:

1. Row 1: Contains the numbers 2 and 5.
- Difference between 5 and 2: \( 5 - 2 = 3 \).

2. Row 2: Contains the numbers 7, 8, and 10.
- Difference between 8 and 7: \( 8 - 7 = 1 \).
- Difference between 10 and 8: \( 10 - 8 = 2 \).

3. Row 3: Contains the numbers 15 and 18.
- Difference between 18 and 15: \( 18 - 15 = 3 \).

4. Row 4: Contains the number 22 (only one number is given).

#### Step 2: Look for a Global Pattern
From the observations:
- The differences between consecutive numbers in each row are not consistent within a single row.
- However, if we look at the first number in each row, we can see a potential pattern:
- Row 1: 2
- Row 2: 7
- Row 3: 15
- Row 4: 22

Let's check the differences between these first numbers:
- Difference between 7 and 2: \( 7 - 2 = 5 \).
- Difference between 15 and 7: \( 15 - 7 = 8 \).
- Difference between 22 and 15: \( 22 - 15 = 7 \).

The differences are 5, 8, and 7. This does not immediately suggest a simple arithmetic progression, so let's explore another approach.

#### Step 3: Check for a Column-wise Pattern
Now, let's examine the columns to see if there is a pattern vertically:
- Column 1: Contains 2, 7, 15, 22.
- Differences: \( 7 - 2 = 5 \), \( 15 - 7 = 8 \), \( 22 - 15 = 7 \).
- Column 2: Contains 5, 8, 18.
- Differences: \( 8 - 5 = 3 \), \( 18 - 8 = 10 \).
- Column 3: Contains 10.
- Only one number is given.
- Column 4: Contains 5, 10, 18.
- Differences: \( 10 - 5 = 5 \), \( 18 - 10 = 8 \).

From this, we notice that the differences in Column 1 (5, 8, 7) and Column 4 (5, 8) are similar, suggesting a potential pattern related to these columns.

#### Step 4: Fill in the Missing Numbers
Based on the observed patterns:
1. Row 1: The difference between 2 and 5 is 3. If we assume the sequence continues with a difference of 3, the next number would be \( 5 + 3 = 8 \). However, since only two numbers are given, we cannot definitively extend this row.
2. Row 2: The numbers are 7, 8, 10. The differences are 1 and 2. If we assume the sequence continues with increasing differences, the next number could be \( 10 + 3 = 13 \).
3. Row 3: The difference between 15 and 18 is 3. If we assume the sequence continues with a difference of 3, the next number would be \( 18 + 3 = 21 \).
4. Row 4: Only one number (22) is given. Without additional context, we cannot determine the next number in this row.

#### Final Answer:
Based on the observed patterns, the most reasonable completion of the grid is:
- Row 1: 2, 5, 8
- Row 2: 7, 8, 10, 13
- Row 3: 15, 18, 21
- Row 4: 22 (no additional numbers can be determined)

Thus, the missing numbers are:
- Row 1, Column 3: 8
- Row 2, Column 4: 13
- Row 3, Column 3: 21

Final Answer:

\[
\boxed{8, 13, 21}
\]