A. Assume that this pattern continues beyond Figure 3. Write an equation that represents the number of squares in figure n.
Figure 1
Figure 2
Figure 3

b. Explain how you know your equation will work for any figure number.

c. Write two different equations that represent the perimeter P for any given
figure number

6

Step-by-step explanation:

This is a case of combination since the order does not matter, it only matters that there must be a marble in each one inside, therefore we must apply its formula.

xCn = n! / x! * (n - x)!

n, in this case it would be 4 because we must subtract 2 from the total 6, since there must already be one inside in each display case.

x = 2, since it is the number of showcases.

Replacing:

 2C4 = 4! / 2! * (4 - 2)! = 6

Which means that you can in six different ways.