Determine Whether the Series Converges or Diverges $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 3 n } \right)$

question 137

Short Answer

Determine whether the series converges or diverges. $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 3 n } \right)$

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Definitions:

Great Depression

A severe worldwide economic downturn that lasted throughout the 1930s, marked by high unemployment, deflation, and widespread poverty.

Positive Psychology

A branch of psychology focused on the study and enhancement of positive human functioning, happiness, and well-being.

Mihaly Csikszentmihalyi

A psychologist known for his work on the concept of "flow," a state of intense focus and immersion in activities.

Martin Seligman

A psychologist known for his work on the theory of learned helplessness and for being a founding figure in the field of positive psychology.