Use the diagrams below to answer the question that follows W

Use the diagrams below to answer the question that follows. Which of the following is represented by the shaded regions in the diagrams above?

Solution

The shaded area represents an infinite geometric series with the following sum:

1/4 + 1/4^2 + 1/4^3 + ...=(1/4)/(1-1/4) = (1/4)/(3/4) = 1/3 (first term is 1/4 and the common ratio is 1/4)

Hence the correct chioce is B.