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8-8.

The pattern below changes by adding two tiles for each new figure. Use Figure 5 to answer the following questions.

 tile tile tile tile tile tile tile tile tile tile tile tile tile tile

Figure 5

1. How many tiles should be in Figure 7? How do you know?

How many tiles are in figure 5? If you add two tiles for Figure 6 and two more for Figure 7, how many tiles should be in Figure 7?

2. What could Figure 3 look like? Sketch one possibility.

If there are $14$ tiles in Figure 5, and you take away two for Figure 4 and two more for Figure 3, how many tiles should be in Figure 3?

3. Could there be a Figure 0? If so, how many tiles would it have?

Yes! If you have $14$ tiles and take two away five times, how many tiles should Figure 0 have?

4. If the pattern continues, will there be a figure with exactly $24$ tiles? Explain your answer with a sentence or a drawing.

If Figure 0 has $4$ tiles, how many times do you need to add two tiles to get to $24$ tiles?