Easy# 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 } } $

$III.\ \sum _{ n=1 }^{ \infty }{ ( -1 ) } ^{ n }$