Write a Formula for the General Term (The Nth Term) $4 , - \frac { 4 } { 3 } , \frac { 4 } { 9 } , - \frac { 4 } { 27 } , \frac { 4 } { 81 } , \ldots$

question 223

Multiple Choice

Write a formula for the general term (the nth term) of the geometric sequence.
- $4 , - \frac { 4 } { 3 } , \frac { 4 } { 9 } , - \frac { 4 } { 27 } , \frac { 4 } { 81 } , \ldots$

• A) \(a _ { n } = 4 \left( - \frac { 1 } { 3 } \right)^{ n - 1}\)
• B) \(a _ { n } = 4 \left( - \frac { 1 } { 3 } \right) ^n\)
• C) \(a _ { n } = 4 \left( - \frac { 1 } { 3 } \right)^{ n + 1}\)
• D) \(a _ { n } = 4 \left( - \frac { 1 } { 9 } \right) ^ { n - 1 }\)

---

Definitions:

Safety Needs

The second tier in Maslow's hierarchy of needs, encompassing physical safety and security requirements for survival.

Longitudinal Study

A research design that involves repeated observations of the same variables (e.g., people) over short or long periods of time.

Conformity

The tendency to align one's beliefs, behaviors, or attitudes with those of a group or societal norms, often as a means of gaining approval or belonging.

Self-direction

The ability or tendency of an individual to guide, control, and regulate their own behavior and decisions towards achieving personal goals or satisfaction.