Find a General Term an for the Geometric Sequence $$a _ { 1 } = - \frac { 1 } { 3 } , r = - 6$$

question 170

Multiple Choice

Find a general term an for the geometric sequence.
- $$a _ { 1 } = - \frac { 1 } { 3 } , r = - 6$$

• A) \(a _ { n } = - \frac { 1 } { 3 } \cdot ( - 6 ) ^ { n - 1 }\)
• B) \(a _ { n } = \left( - \frac { 1 } { 3 } \right) ^ { 11 - 1 } + \frac { 7 } { 18 }\)
• C) \(a _ { n } = - \frac { 1 } { 3 } + \frac { 7 } { 18 } ( n - 1 )\)
• D) \(a _ { n } = - \frac { 1 } { 3 } - \frac { 1 } { 6 } ( n - 1 )\)

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Definitions:

Physiological Needs

Basic human requirements for survival and physical well-being, such as food, water, shelter, and sleep, as identified in Maslow's hierarchy of needs.

Security Needs

Fundamental requirements concerning an individual's or entity's need for safety and protection from harm.

Deficiency Needs

According to Maslow's hierarchy of needs, these are basic needs (such as food, shelter, and safety) that must be met before an individual can focus on higher-level psychological needs.

Security Needs

Basic human requirements for safety and protection from physical or emotional harm.