Determine Whether the Given Geometric Series Converges,and If So,find Its $\sum _ { n = 1 } ^ { \infty } \left( \frac { 5 } { 7 } \right) ^ { n }$

question 3

Multiple Choice

Determine whether the given geometric series converges,and if so,find its sum. $\sum _ { n = 1 } ^ { \infty } \left( \frac { 5 } { 7 } \right) ^ { n }$

• A)Diverges.
• B)Converges to \(\frac { 5 } { 2 }\)
• C)Converges to \(\frac { 5 } { 12 }\)
• D)Converges to \(\frac { 7 } { 2 }\)

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