Find the partial sum of the geometric series

The video tutorial explains how to solve a problem involving the partial sum of a geometric series. It begins with setting up the problem and identifying the necessary formula. The instructor then calculates the first term and uses it to find the partial sum. During the process, calculation errors are identified and corrected, emphasizing the importance of careful computation.

Calculate the partial sum of nine for the series discussed.

Explain the significance of raising -2 to the power of 9 in the context of this problem.