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Determine the Common Difference, the Fifth nth n ^ { \text {th } }

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Essay

Determine the common difference, the fifth, nth n ^ { \text {th } } , and 100th 100 ^ { \text {th } } terms of the arithmetic sequence 1,2,3,4,1,2,3,4 , \ldots .


Definitions:

Guilty

A legal term denoting that someone has been found responsible for committing a crime or offense, or a feeling of having done wrong or committed a misdemeanor.

Acquaintances

Individuals known by someone, but usually not close friends.

Voodoo Doll

A figurine used in certain rituals, often associated with the belief in magical practices, to represent a person for purposes of casting spells on them, typically for harm.

Sneaking Off

An attempt to leave a place quietly or unnoticed, often to avoid detection or to escape.

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