Write a Formula for the General Term (The Nth Term) $$- 5 , - 10 , - 20 , - 40 , - 80 , \ldots$$

question 108

Multiple Choice

Write a formula for the general term (the nth term) of the geometric sequence.
- $$- 5 , - 10 , - 20 , - 40 , - 80 , \ldots$$

• A) \(a _ { n } = - 5 ( 2 ) ^ { n - 1 }\)
• B) \(a _ { n } = - 5 ( 2 ) ^ { n }\)
• C) \(a _ { n } = a _ { 1 } + 2 ^ { n }\)
• D) \(a _ { n } = - 5 ( 2 n )\)

---

Definitions:

Despondency

A state of low mood and aversion to activity, often associated with feelings of hopelessness and sadness.

Suicidal Thoughts

Thoughts about or an inclination towards ending one's own life.

Major Depressive Disorder

A mental disorder characterized by a persistent and intense feeling of sadness or despair and/or a loss of interest in activities, often accompanied by other symptoms such as changes in sleep, appetite, and energy level.

Depression

A psychiatric disorder characterized by pervasive feelings of sadness, emptiness, or hopelessness, often accompanied by a lack of energy and interest in life.