Find an Approximation of the Sum of the Series Accurate $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

question 116

Short Answer

Find an approximation of the sum of the series accurate to two decimal places.
$$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

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Definitions:

Mackintosh

Refers to a model of learning that suggests the attentional focus of an organism is influenced by the predictability of a stimulus.

Conditional Discrimination

The ability to differentiate among stimuli or responses based on the conditions or context in which they are presented.

Prefrontal Cortex

A region of the frontal lobe of the brain implicated in various complex behaviors, including decision making, planning, and moderating social behavior.

Hippocampus

A major component of the brain involved in memory formation, organization, and retrieval, as well as spatial navigation.