Find the Sum of the Finite Geometric Series $\sum _ { n = 1 } ^ { 6 } \left( - \frac { 8 } { 9 } \right) ^ { n }$

Multiple Choice

Find the sum of the finite geometric series. Round to the nearest hundredth. $\sum _ { n = 1 } ^ { 6 } \left( - \frac { 8 } { 9 } \right) ^ { n }$

A) $- 0.24$
B) $- 0.10$
C) $- 0.33$
D) $- 0.80$
E) $- 0.63$