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The series $$\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}}$$

A. is a convergent geometric series with $\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}}=\frac{5}{3} \frac{1}{1+\frac{1}{3}}$

B. is a convergent geometric series with $\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}}=\frac{5}{3} \frac{1}{1-\frac{1}{3}}$

C. is a convergent geometric series with $\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{3^{n+1}}=5 \frac{1}{1-\frac{1}{3}}$

D. converges but does not converge absolutely E. diverges
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