Find an Explicit Rule for the Nth Term of the Sequence

question 32

Multiple Choice

Find an explicit rule for the nth term of the sequence.
- $4,12,36,108 , \ldots$

• A) \(a _ { n } = 3 \cdot 4 ^ { n - 1 }\)
• B) \(a _ { n } = 4 \cdot 3 ^ { n }\)
• C) \(a _ { n } = 4 \cdot 3 ^ { n - 1 }\)
• D) \(a _ { n } = 4 \cdot 3 ^ { n + 1 }\)

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Definitions:

Task-oriented Leadership

A leadership style that focuses primarily on the tasks that need to be performed in order to achieve certain goals or standards.

People-oriented Leadership

A leadership style focused on supporting, motivating, and developing team members, emphasizing interpersonal relationships and employee well-being.

Task-oriented Leaders

Leaders who focus primarily on the completion of job tasks, the achievement of specific goals, and the efficiency of operations and procedures.

Behavioral Perspective

An approach in psychology and organizational theory that focuses on observable behaviors, emphasizing the external environment's role in shaping behavior.