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the sequence of figures shows a pattern. if the pattern repeats, how ma…

Question

the sequence of figures shows a pattern. if the pattern repeats, how many small squares will figure 4 have? figure 1 figure 2 figure 3

Explanation:

Step1: Identify the pattern

Figure 1: $2 \times 2 = 4$ squares
Figure 2: $3 \times 3 = 9$ squares
Figure 3: $4 \times 4 = 16$ squares
The side length of the square is $n+1$, where $n$ is the figure number.

Step2: Calculate for Figure 4

For Figure 4, side length = $4+1=5$.
Number of squares = $5 \times 5$

Answer:

25