What is the area of the 9th largest square

Question

Jill determines that the area of the largest square is 100 cm2. She notices that each square is one-fourth the area of next largest square. Suppose the pattern continues indefinitely. 

Answer 1

Each subsequent area is 1/4 the previous.

Thus the original area will be multiplied by

1/4 a total of 8 times when you reach the

9th square.

 

1/4 = .25

 

100(.25)⁸ = .00153 cm²