Find the Sum of the Convergent Series $\sum _ { n = 0 } ^ { \infty } 9 \left( - \frac { 7 } { 8 } \right) ^ { n }$

question 111

Multiple Choice

Find the sum of the convergent series. $\sum _ { n = 0 } ^ { \infty } 9 \left( - \frac { 7 } { 8 } \right) ^ { n }$

• A) \(\frac { 27 } { 5 }\)
• B) \(\frac { 21 } { 5 }\)
• C) \(\frac { 72 } { 13 }\)
• D) \(\frac { 24 } { 5 }\)
• E) \(\frac { 81 } { 13 }\)