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

question 115

Short Answer

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

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Definitions:

Ergs

Basic, instinctual drive forces that motivate behaviors essential to survival, such as hunger and sex.

Sentiments

Deep feelings or emotions that influence an individual's attitudes and actions toward certain ideas, objects, or people.

Dynamic Motivating

The process of being driven to fulfill changing needs, desires, and goals, which is fluid and adapts over time.

Human Nature

The inherent characteristics, including ways of thinking, feeling, and acting, that all humans are said to share.