Determine Whether the Geometric Series Converges or Diverges $- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$

question 157

Multiple Choice

Determine whether the geometric series converges or diverges. If it converges, find its sum. $- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$

• A) \(\frac { 1 } { 4 }\)
• B) \(- \frac { 1 } { 5 }\)
• C) Diverges
• D) \(- \frac { 1 } { 6 }\)

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