Test the Series for Convergence or Divergence $$\sum _ { m = 1 } ^ { \infty } \frac { ( - 6 ) ^ { m + 1 } } { 4 ^ { 8 m } }$$

question 41

Multiple Choice

Test the series for convergence or divergence.
$$\sum _ { m = 1 } ^ { \infty } \frac { ( - 6 ) ^ { m + 1 } } { 4 ^ { 8 m } }$$

• A) The series is convergent.
• B) The series is divergent.

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Definitions:

Cognitive-behavioral

Pertaining to a psychological approach focused on modifying dysfunctional emotions, behaviors, and thoughts through a systematic procedure.

Psychodynamic

The psychodynamic approach is a perspective in psychology that emphasizes the role of the unconscious mind, childhood experiences, and interpersonal relationships in shaping personality and behavior.

Sociocultural

Relating to, or involving the influences of society and culture on an individual or group.

Humanist-existential

A psychological perspective that emphasizes individual responsibility and the importance of personal growth, freedom, and the search for meaning.