Write a Formula for the General Term (The Nth Term) $$3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots$$

question 41

Multiple Choice

Write a formula for the general term (the nth term) of the geometric sequence.
- $$3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots$$

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

---

Definitions:

Normally Closed

A term describing a contact or circuit condition that is closed (allowing current flow) when in its default, unactuated state.

Exhibit

To display or demonstrate a particular feature, behavior, or characteristic in a clear or noticeable manner.

Normally Closed

Refers to a switch or relay that is in a closed (conducting) state when not energized.

Contact Configurations

The arrangement and specification of contacts within electrical devices, defining their operational functionalities.