Determine Whether the Series Converges or Diverges $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { 2 ^ { n } }$

question 110

Short Answer

Determine whether the series converges or diverges. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { 2 ^ { n } }$

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Definitions:

Consumer Tastes

Consumer Tastes denote the preferences and desires that influence the buying behavior of consumers, often affected by cultural, social, and personal factors.

Capital Goods

Long-lasting goods that are used in the production of other goods or services, such as machinery, equipment, and buildings.

Production Possibility Frontier

A graphical representation depicting the maximum output possibilities for two goods, given a set of inputs, highlighting the trade-offs in production choices.

Efficiency

The ability to achieve a desired outcome or output with the least waste of time, effort, or resources.