Determine Whether the Infinite Geometric Series Converges or Diverges $\sum _ { k = 1 } ^ { \infty } - 2 ( - 0.9 ) ^ { \mathrm { k } - 1 }$

question 112

Multiple Choice

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
- $\sum _ { k = 1 } ^ { \infty } - 2 ( - 0.9 ) ^ { \mathrm { k } - 1 }$

• A) Converges; -1.05
• B) Converges; 2.65
• C) Diverges
• D) Converges; 1.05

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