The sum of the infinite geometric series is 1/4. This is calculated using the formula for calculating infinite sum, S? = a1 / (1-r ), where a1 is the first term and r the common term in the series. Therefore, S = (1/8)/ (1 - 1/2) = 1/8 2 = 1/4. Find more help with geometry at http://people.richland.edu/james/lecture/m116/sequences/geometric.html.