Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } \cos \left( \frac { \pi } { 2 n ^ { 2 } - 1 } \right)$

question 74

Short Answer

Determine whether the series $\sum _ { n = 1 } ^ { \infty } \cos \left( \frac { \pi } { 2 n ^ { 2 } - 1 } \right)$ is convergent or divergent. If it is convergent, find the sum.

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Definitions:

Female Sexual Scripts

Cultural, social, and interpersonal guides that shape the sexual behavior and perceptions of women.

Intimate Knowledge

A deep understanding or familiarity with someone or something, often gained through personal experience or close observation.

Stereotypes

Oversimplified and fixed ideas or perceptions about a particular group of people or things.

Probabilities

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.