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

question 129

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:

MBA Students

Individuals enrolled in a Master of Business Administration program, focusing on mastering business management skills.

Exponential Distribution

A continuous probability distribution used to model the time between events in a Poisson process, describing scenarios where events happen continuously and independently at a constant average rate.

One Parameter

Refers to statistical models or distributions that are characterized by a single variable that defines their behavior or shape.

Probability Distribution

A mathematical function that calculates the likelihood of various possible results in an experiment.