A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and

then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four

steps

Complete this table showing the number of shaded triangles in each step and the area of each triangle.

Area of Each Shaded

Triangle in Squares inches

Step Number Number of Shaded Triangles

0

1

256

1

3

2

3