Consider the first three figures of the pattern below.

1. On your own paper, draw what Figure $4$ of this pattern should look like.

   Hint (a):

   How many sides are in each figure shown?
   How many would you expect in the next figure?

2. Using words, describe what Figures $5$ and $6$ should look like.

   Hint (b):

   If Figure $4$ has $6$ sides of the same length, how many sides should the next figures have?

   Answer (b):

   Figure $5$ should have seven sides of the same length.
   Figure $6$ should have eight sides of the same length.

3. Using words, describe how the pattern is changing.

• Hint (c):

  How is one figure different from the previous one?
  Think about how you answered part (b) and try to generalize this.