Write an Expression for the N Th Term of the Sequence

question 53

Multiple Choice

Write an expression for the n th term of the sequence $1,3 , \frac { 3 ^ { 2 } } { 2 } , \frac { 3 ^ { 3 } } { 6 } , \frac { 3 ^ { 4 } } { 24 } , \frac { 3 ^ { 5 } } { 120 } , \ldots$ Assume that n begins with 1.

• A) \(a _ { n } = \frac { 3 ^ { n - 1 } } { n ! }\)
• B) \(a _ { n } = \frac { 3 ^ { n + 1 } } { ( n - 1 ) ! }\)
• C) \(\alpha _ { n } = \frac { 3 ^ { n } } { ( n - 1 ) ! }\)
• D) \(a _ { n } = \frac { 3 ^ { n } } { n ! }\)
• E) \(\alpha _ { n } = \frac { 3 ^ { n - 1 } } { ( n - 1 ) ! }\)

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Definitions:

Autonomy

The degree of independence and freedom of choice that individuals have in their roles or tasks.

Job Characteristics Model

A framework that proposes that certain job characteristics affect job outcomes through their relationship with individual psychological states.

Task Identity

The degree to which a job requires completion of a whole and identifiable piece of work, contributing to a sense of accomplishment.

Hygiene Factor

A concept from Herzberg's motivation-hygiene theory that refers to environmental conditions—such as salary, company policies, and work conditions—that can prevent job dissatisfaction but do not necessarily increase job satisfaction.