Below the first term of the geometric series 1, 1/2, 1/4, 1/8, ... is represented visually as a rectangle with area 1.[br]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.[br]2) What are the effects of changing the first term and the common ratio on the convergence of the series?