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

question 110

Multiple Choice

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

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

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