Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

question 91

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $$- \frac { 1 } { 6 } , \frac { 1 } { 54 } , - \frac { 1 } { 486 } , \frac { 1 } { 4374 } , \ldots$$

• A) \(a _ { n } = - \frac { 1 } { 6 } \left( - \frac { 1 } { 9 } \right) ^ { n }\)
• B) \(a _ { n } = - \frac { 1 } { 6 } - \frac { 1 } { 9 } ( n - 1 )\)
• C) \(a _ { n } = - \frac { 1 } { 9 } \left( - \frac { 1 } { 6 } \right) ^{n - 1}\)
• D) \(a _ { n } = \left( - \frac { 1 } { 6 } \right) ^ { n - 1 } + \frac { 5 } { 27 }\)

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Definitions:

Behavioural Approach

A perspective in psychology and management focusing on observable behaviors, analyzing how they're learned and influenced by the environment, rather than internal thoughts or feelings.

Personal Characteristics

Traits or attributes of an individual, including skills, temperament, and physical features, that can influence behavior and performance.

Leadership Success

The effectiveness with which a leader inspires, guides, and achieves goals through the management of others and resources.

Blake and Mouton

Creators of the Managerial Grid Model, which is a method for evaluating leadership styles based on concern for people and concern for production.