A.SSE.B.5: Determine the sum, if it exists, of an infinite geometric series.

Determine the sum, if it exists, of an infinite geometric series.

Example Problems

If the following infinite geometric series converges, find its sum.

0.5 + 0.25 + 0.125 + 0.0625 ...

If the following infinite geometric series converges, find its sum.

\sum_{k=0}^{\infty}{-10(0.2)^{k}}

Find the sum of the first 10 terms of the following geometric series:

1 + \frac{1}{2} + \frac{1}{4} + \ldots

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