Find the Sum of the Finite Geometric Sequence $$\sum _ { n = 1 } ^ { 6 } 2 \left( - \frac { 2 } { 3 } \right) ^ { n - 1 }$$

question 27

Multiple Choice

Find the sum of the finite geometric sequence.
$$\sum _ { n = 1 } ^ { 6 } 2 \left( - \frac { 2 } { 3 } \right) ^ { n - 1 }$$

• A) \(- \frac { 463 } { 243 }\)
• B) \(- \frac { 1024 } { 3 }\)
• C) 4256
• D) \(\frac { 55 } { 81 }\)
• E) \(\frac { 266 } { 243 }\)

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Definitions:

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