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Find the Indicated Partial Sum for the Given Sequence with the Given

question 29

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Find the indicated partial sum for the given sequence with the given first term and general term.
- s4,a1=3,an=(an1) 2+1\mathrm { s } _ { 4 } , \mathrm { a } _ { 1 } = 3 , \mathrm { a } _ { \mathrm { n } } = \left( \mathrm { a } _ { \mathrm { n } } - 1 \right) ^ { 2 } + 1


Definitions:

Robert Merton

An influential American sociologist known for developing theories on social structure, anomie, and for the concept of self-fulfilling prophecy, among other contributions to sociology.

Societal Community

A group of people who share common values, traditions, and behaviors, forming a cohesive unit within a larger society.

Integrative

Approaches or methods that combine different theories, practices, or systems into a unified whole.

Imperative

A crucial or essential condition, requirement, or command that is binding and necessary.

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