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

question 32

Essay

Determine the common difference, the fifth, $n ^ { \text {th } }$ , and $100 ^ { \text {th } }$ terms of the arithmetic sequence $- 1,7,15,23 , \ldots$ .

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Definitions:

Cosmopolitanism

An ideology that all human beings belong to a single community, based on a shared morality, regardless of nationality, ethnicity, or local affiliations.

Homiphily

The tendency of individuals to associate and bond with others who share similar interests, values, or backgrounds.

Compatibility

The ability of two or more systems, devices, or components to work together without conflict, enhancing functionality or convenience.

Complexity

The state or quality of being intricate or complicated, often referring to systems or problems that have multiple interconnected parts.