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AP® Calculus AB-BC

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Moderate

Identify the Converging Series

APCALC-VSYM2E

Which of the following series converge?

A

$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n } }{ n+1 } }$

B

$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }( 3n-1 ) }{ 2n+3 } } $

C

$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ n }^{ 2 } }{ { n }^{ 2 }+4 } } $

D

$\sum _{ n=1 }^{ \infty }{ \sin { ( \cfrac { n }{ 2 } \pi ) } } $