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Describe Figure 5 based on the pattern shown in Figures 1-4.

Mathematics

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Step-by-step solution

3 steps
  1. Analyze the pattern in Figures 1-4.

    • Figure 1 has 2 squares stacked vertically.
    • Figure 2 has a 2×22 \times 2 grid of squares with an additional square on top of the top-right square.
    • Figure 3 has a 3×33 \times 3 grid of squares with an additional square on top of the top-right square.
    • Figure 4 has a 4×44 \times 4 grid of squares with an additional square on top of the top-right square.
  2. Determine the structure for Figure 5 based on the observed pattern.

    For n≥2n \ge 2, Figure nn consists of an n×nn \times n grid of squares, with one additional square placed on top of the top-right square of the grid. Following this pattern, Figure 5 will consist of a 5×55 \times 5 grid of squares, with an additional square on top of the top-right square.

  3. Describe Figure 5.

    Figure 5 will be a square grid of 5 rows and 5 columns. On top of the square in the fifth column of the fifth row (the top-right square of the 5×55 \times 5 grid), there will be one additional square.

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