A.SSE.B.4: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.

Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.

Example Problems

Find the sum:

\sum_{k=1}^{40} 2(-0.8)^{k-1}

Find the sum:

\sum_{k=0}^{19} 7\left(\frac{1}{3}\right)^{k}

Find the sum of the geometric series:

1 -3 + 3^2 -3^3 + ... -3^{29}

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