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Look at the figures carefully. Notice what changes from figure to figure to identify the pattern.
Since the pattern grows linearly, we can describe it with a linear equation.
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Before we sketch the next two figures of the given tile pattern, let's consider the differences between the existing figures.
Studying the figures, a clear pattern emerges. Each figure has 5 more tiles on its right side than the previous figure. Each time, the bottom and top of the figure add 2 tiles, and the middle adds 1 tile. Therefore, Figure 4 would have 8 tiles on its top and bottom, and 5 tiles in the middle.
Figure0 will have 5 tiles less than the Figure 1. That means it will be made of 1 tile.
Let's call the number of an arbitrary figure x and the number of tiles in that figure y. From the information in the exercise, we can measure the change in x and y between Figure 1 and Figure 2.
