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Properties Of Geometric Series
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All of the following statements about geometric series are true EXCEPT:

A

A geometric series converges if $$|r| \geq 1$$.

B

If the partial sums of a geometric series grow without bound or oscillate, the series diverges.

C

A geometric series converges if $$|r| < 1$$.

D

For a convergent geometric series, the sum is given by $$S = \frac{a}{1 - r}$$ where $$a$$ is the first term.

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