Infinite Geometric Series
Below the first term of the geometric series 1, 1/2, 1/4, 1/8, ... is represented visually as a rectangle with area 1. 1) Drag the red slider to add additional terms to the series. Explain how this shows that the sum of this series is finite, and what its value will be. 2) What are the effects of changing the first term and the common ratio on the convergence of the series?