Find the Sum of the Geometric Series $$\sum _ { k = 1 } ^ { 5 } 2 ( - 3 ) ^ { k }$$

question 242

Multiple Choice

Find the sum of the geometric series.
- $$\sum _ { k = 1 } ^ { 5 } 2 ( - 3 ) ^ { k }$$

• A) 75
• B) 12
• C) \(- 366\)
• D) \(- 1230\)

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Definitions:

Drive Theory

A psychological theory that posits human behavior is motivated by biological drives that seek homeostasis.

Physiological Equilibrium

The state of balance or stability in the body's internal environment, maintained through various biological processes.

Drive Reduction

A theory in psychology that posits that actions are motivated by the desire to reduce internal drives, such as hunger, that arise from biological needs.

Work Assignment

A task or set of tasks given to an individual or group as part of their job or studies.