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AP® Calculus AB-BC

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Geometric Sum

APCALC-1LFLVE

Find the value of:

$$\sum _{ n=1 }^{ \infty }{ { \left( \cfrac { 1 }{ 3 } \right) }^{ n } } $$

A

$\cfrac{1}{2}$

B

$\cfrac{3}{2}$

C

$\cfrac{2}{3}$

D

$\cfrac{1}{3}$