Consider the Following Geometric Series $\frac { 25 } { 2 }$

Multiple Choice

Consider the following geometric series: $\frac { 25 } { 2 }$ - $\frac { 15 } { 2 }$ + $\frac { 9 } { 2 }$ - $\frac { 27 } { 10 }$ + ... . Which of the following statements is true?

A) This series diverges.
B) The sum of this series is $\frac { 125 } { 4 }$ .
C) Another way writing this series is $\sum _ { k = 1 } ^ { \infty } \left( - \frac { 3 } { 5 } \right) ^ { k }$
D) The ratio r of this series is $\frac { 3 } { 5 }$ .
E) none of these