Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$

question 345

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term. $a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$

• A) \(a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• B) \(a _ { n } = 5 \left( - \frac { 1 } { 2 } \right) ^ { n + 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• C) \(a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n + 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• D) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• E) \(a _ { n } = 5 \left( - \frac { 1 } { 4 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)

---

Definitions:

Shared Norms

Are collectively upheld rules and expectations regarding appropriate behavior within a society or group, guiding members in their interactions.

Tacit Agreements

Unspoken understandings or contracts between parties, often based on common norms or expectations rather than explicit communication.

Social Change

The alteration in the social order of a society, which may include changes in nature, social institutions, social behaviors, or social relations.

Social Order

refers to the structured patterns of social arrangements and behaviors that form the foundation of society, enabling coordinated and cooperative human activity.