Zakari PROBLEM SOLVING The Sierpinski carpet is a fractal created using squares. The process involves removing prane smaller squares from larger squares. First, divide nah fr a large square into nine congruent squares. Then jeremi remove the center square. Repeat these steps for each 7 2w smaller square, as shown below. Assume that each side of the initial square is 1 unit long. sianaly slide t amalia 66925 gia mi avocal Stage 1 Stage 2 Stage 3 nluqtx a. Let a, be the total number of squares removed at :) . 3w the nth stage. Write a rule for a,. Then find the Instag total number of squares removed through Stage 8. Reacte b. Let b, be the remaining area of the original square queefl after the nth stage. Write a rule for b. Then find Sent y Stage 12. the remaining area of the original square after Karim