Questions: The sequence of figures shows a pattern. If the pattern repeats, how many small squares will Figure 4 have?

Solution Steps

Observe the sequence of figures and identify the pattern in the number of small squares:

• Figure 1 has 4 small squares.
• Figure 2 has 6 small squares.
• Figure 3 has 8 small squares.

Determine the increment in the number of small squares between consecutive figures:

• From Figure 1 to Figure 2: 6 - 4 = 2
• From Figure 2 to Figure 3: 8 - 6 = 2

Since the pattern shows an increment of 2 small squares for each subsequent figure, apply this to find the number of small squares in Figure 4:

• Figure 3 has 8 small squares.
• Therefore, Figure 4 will have 8 + 2 = 10 small squares.

Final Answer