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AP® Calculus AB-BC

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Sum of an Infinite Geometric Series

APCALC-VKJEPC

What is the value of $\sum _{ n=0 }^{ \infty }{ { \left( -\cfrac { 4 }{ 5 } \right) }^{ n } } $?

A

$5$

B

$-\cfrac { 2 }{ 5 } $

C

$\cfrac { 5 }{ 9 } $

D

The series diverges.