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The pattern in the figures involves increasing numbers of triangles and circles.

Looking at the table, we can observe the following for Figures 1 through 4:

- **Number of Triangles**:
  - Figure 1: 4
  - Figure 2: 8
  - Figure 3: 12
  - Figure 4: 16
  - We notice an arithmetic pattern, where the number of triangles increases by 4 each time. So, for **Figure 5**, the number of triangles will be:
    \[
    16 + 4 = 20
    \]

- **Number of Circles**:
  - Figure 1: 4
  - Figure 2: 16
  - Figure 3: 36
  - Figure 4: 64
  - The number of circles seems to follow a quadratic pattern, specifically the square of the figure number (squared values: \( 2^2, 4^2, 6^2, 8^2 \)). For **Figure 5**, the number of circles will be:
    \[
    10^2 = 100
    \]

- **Total Number of Triangles and Circles**:
  - We can calculate the total number for Figure 5 by adding the values for triangles and circles:
    \[
    20 + 100 = 120
    \]

Thus, for Figure 5:
- Number of triangles: 20
- Number of circles: 100
- Total number of triangles and circles: 120

Would you like a further breakdown of how the patterns were identified, or do you have any other questions?

Here are 5 related questions to extend this:
1. What is the algebraic expression for the number of triangles in Figure \(n\)?
2. What is the algebraic formula for the number of circles in Figure \(n\)?
3. How does the total number of triangles and circles change as \(n\) increases?
4. If the pattern continues, what will the number of triangles and circles be in Figure 6?
5. How would the pattern change if the difference between the triangles increased by a number other than 4?

**Tip**: When dealing with patterns, look for arithmetic (constant difference) or geometric (multiplying factor) progressions to predict future values.

Complete the table by finding the number of triangles and circles for Figure 5.

Learn how to predict the number of triangles and circles in a repeating pattern for Figure 5. This problem involves arithmetic and quadratic sequences, with solutions for both the number of triangles and circles. Suitable for students in Grades 6-8.

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