Find the Nth Term $a _ { n }$ Of a Sequence Whose First Four Terms Are Given

question 263

Multiple Choice

Find the nth term $a _ { n }$ of a sequence whose first four terms are given.
- $\frac { 1 \cdot 2 \cdot 3 \cdot 4 } { 2 } , \frac { 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 } { 4 } , \frac { 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 } { 6 } , \frac { 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 } { 8 } , \ldots$

• A) \(a _ { n } = \frac { ( n + 4 ) ! } { 2 ^ { n } }\)
• B) \(a _ { n } = \frac { ( n + 4 ) ! } { 2 n }\)
• C) \(a _ { n } = \frac { ( n + 3 ) ! } { 2 n }\)
• D) \(a _ { n } = \frac { ( n + 3 ) ! } { 2 ^ { n } }\)

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Definitions:

Distributive Justice

the ethical principle concerned with the fair allocation of resources and wealth among members of a society.

Social Egalitarianism

A philosophy advocating for equal rights and opportunities for all people within society.

Libertarianism

A political philosophy that emphasizes freedom, autonomy, and voluntary association, with a scepticism of authority and state power.

Kohlberg's Schematic Analysis

A psychological framework developed by Lawrence Kohlberg that categorizes moral development into stages, used to analyze the moral reasoning behind decisions and behaviors.