If the following pattern continued indefinitely, the resulting figure would be called th...

If the following pattern continued indefinitely, the resulting figure would be called the Sierpinski triangle, or Sierpinski gasket.

In a group, determine each of the following. Discuss different counting strategies.

a. How many black triangles would be in the fifth figure?

b. How many white triangles would be in the fifth figure?

c. If the pattern is continued for 71 figures, how many black triangles will there be?

d. If the pattern is continued for 71 figures, how many white triangles will there be?