Use the properties of infinite series and the fact that Σ 1 1. 1 and 4 5" n = 1 6' n = 1 5 to find the sum of the infinite series. Σ 20 7 6" n = 1

The following image shows a 1 × 1 square that has been subdivided in a particular way. A. Assuming the red squares continue to the lower right corner of the large 1 x 1 square forever ("ad infinitum"), write down an infinite series that represents the total area of all the red squares. B. Find the sum of the infinite series you wrote down in part A.

Keep the answer in a fractional format, evaluate the geometric series