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AP® Calculus AB-BC

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Converging Series

APCALC-F8X7VL

Which of the following series converge?

$I.\ \ \ \sum _{ n=1 }^{ \infty }{ \cfrac { { 4 }^{ n } }{ { 5 }^{ n } } } $
$II.\ \ \sum _{ n=0 }^{ \infty }{ \cfrac { 3n+5 }{ 4n+1 } } $
$III.\ \sum _{ n=1 }^{ \infty }{ ( -1 ) } ^{ n }$

A

I only

B

III only

C

I and III

D

II and III