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

question 312

Multiple Choice

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

• A) \(a _ { n } = \frac { 1 } { 2 } + \frac { 3 } { 2 } ( n - 1 )\)
• B) \(a _ { n } = \frac { 1 } { 2 } + 4 ( n - 1 )\)
• C) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 } + \frac { 3 } { 2 }\)
• D) \(a _ { n } = \frac { 1 } { 2 } ( 4 ) ^ { n - 1 }\)

---

Definitions:

Extra Work

Tasks or responsibilities that go beyond the usual job requirements, often without additional compensation.

Mid-level Leaders

Leaders who manage the gap between the organization's strategic goals and its operational activities, typically overseeing several lower-level managers or departments.

Upper-level Leaders

Senior executives or top-tier managers within an organization who are responsible for making strategic decisions and guiding the entity's direction.

Lower-level Leaders

Leaders who operate at the initial layers of the organization, often directly overseeing the frontline or operational employees, and implementing day-to-day tasks.