The Geometric Series 1 $( 0.2 ) ^ { 3 }$

Multiple Choice

The geometric series 1 + $( 0.2 ) ^ { 3 }$ + $( 0.2 ) ^ { 6 }$ + $( 0.2 ) ^ { 9 }$ + ...
(I) converges
(II) is equal to $\sum _ { k = 0 } ^ { \infty } \left( \frac { 1 } { 125 } \right) ^ { k }$
(III) is equal to $\sum _ { k = 0 } ^ { \infty } ( 0.2 ) ^ { 3 k }$

A) I and III
B) I, II, and III
C) III only
D) II and III
E) I and II