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AP® Calculus AB-BC

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Alternating Geometric Series

APCALC-HVBUYE

Find the value of the sum:

$$\sum _{ 0 }^{ \infty }{ { \left( -\cfrac { 1 }{ 2 } \right) }^{ n } } $$

A

$-\cfrac{3}{2}$

B

$-\cfrac{2}{3}$

C

$\cfrac{2}{3}$

D

$\cfrac{3}{2}$