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Consider the Following Geometric Series 252\frac { 25 } { 2 }

Question 86

Multiple Choice

Consider the following geometric series: 252\frac { 25 } { 2 } - 152\frac { 15 } { 2 } + 92\frac { 9 } { 2 } - 2710\frac { 27 } { 10 } + ... . Which of the following statements is true?


A) This series diverges.
B) The sum of this series is 1254\frac { 125 } { 4 } .
C) Another way writing this series is k=1(35) k\sum _ { k = 1 } ^ { \infty } \left( - \frac { 3 } { 5 } \right) ^ { k }
D) The ratio r of this series is 35\frac { 3 } { 5 } .
E) none of these

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