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AP® Calculus AB-BC

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A Geometric Series

APCALC-8KEKDZ

Find the value (if it exists) for the series,

$$\sum _{ n=1 }^{ \infty }{ \cfrac{3^{n+1}}{4^{n}} } $$

A

$0$

B

$3$

C

$9$

D

The series diverges.