Find a General Term an for the Geometric Sequence $$a _ { 1 } = - \frac { 1 } { 8 } , r = 5$$

question 130

Multiple Choice

Find a general term an for the geometric sequence.
- $$a _ { 1 } = - \frac { 1 } { 8 } , r = 5$$

• A) \(a _ { n } = - \frac { 1 } { 8 } + \frac { 1 } { 10 } ( n - 1 )\)
• B) \(a _ { n } = - \frac { 1 } { 8 } \cdot 5 ^ { n - 1 }\)
• C) \(a _ { n } = \left( - \frac { 1 } { 8 } \right) ^ { n - 1 } + \frac { 1 } { 10 }\)
• D) \(a _ { n } = - \frac { 1 } { 8 } + \frac { 1 } { 5 } ( n - 1 )\)

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Definitions:

Automatically

Occurring involuntarily or without conscious thought, as in actions or processes in the human body or computers.

Conformity

The act of matching attitudes, beliefs, and behaviors to group norms, policies, or societal expectations.

Social Decision Scheme

A model or strategy used within a group to aggregate individual preferences or opinions into a collective decision.

Groupthink

A psychological phenomenon that occurs within a group of people, in which the desire for harmony or conformity in the group results in an irrational or dysfunctional decision-making outcome.