Find a General Term A_n for the Geometric Sequence $$8 , - 4,2 , - 1 , \frac { 1 } { 2 } ,$$

question 50

Multiple Choice

Find a general term a_n for the geometric sequence.
- $$8 , - 4,2 , - 1 , \frac { 1 } { 2 } ,$$

• A) \(a _ { n } = \frac { 1 } { 8 } ( - 2 ) n - 1\)
• B) \(a _ { n } = 6 \left( - \frac { 1 } { 4 } \right) ^ { n - 1 }\)
• C) \(a _ { n } = 8 \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = 8 \left( - \frac { 1 } { 2 } \right) ^ { n - 1 }\)

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Definitions:

Analytic Thinking

The process of evaluating and dissecting complex problems or concepts to understand their components and derive conclusions.

Structural Model

An abstract representation that illustrates the framework of an object, system, or concept, detailing the arrangement and interaction of its parts.

Ego

The part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity.

Id

The unconscious mind, motivated for pleasure and wish fulfillment.