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Determine Whether the Given Geometric Series Converges,and If So,find Its n=1(57)n\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. n=1(57) n\sum _ { n = 1 } ^ { \infty } \left( \frac { 5 } { 7 } \right) ^ { n }


A) Diverges.
B) Converges to 52\frac { 5 } { 2 }
C) Converges to 512\frac { 5 } { 12 }
D) Converges to 72\frac { 7 } { 2 }

Correct Answer:

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