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Determine Whether the Infinite Geometric Series Converges or Diverges k=12(0.9)k1\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.
- k=12(0.9) k1\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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