Determine Whether the Given Geometric Series Converges,and If So,find Its $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 5 } { 9 } \right) ^ { n }$

question 7

Multiple Choice

Determine whether the given geometric series converges,and if so,find its sum. $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 5 } { 9 } \right) ^ { n }$

• A)Converges to \(- \frac { 5 } { 14 }\)
• B)Converges to \(\frac { 5 } { 4 }\)
• C)Diverges
• D)Converges to \(\frac { 9 } { 14 }\)

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