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

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

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

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

Definitions:

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