Write the Expression for the General (Or Nth)termrm $\mathbf { a } _ { \mathbf { n } } ,$

question 120

Multiple Choice

Write the expression for the general (or nth) termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
- $- \frac { 1 } { 3 } , - \frac { 1 } { 27 } , - \frac { 1 } { 243 } , - \frac { 1 } { 2187 } , \ldots$

• A) \(a _ { n } = \left( - \frac { 1 } { 3 } \right) ^ { n - 1 } + \frac { 8 } { 27 }\)
• B) \(a _ { n } = - \frac { 1 } { 3 } + \frac { 8 } { 27 } ( n - 1 )\)
• C) \(a _ { n } = - \frac { 1 } { 3 } + \frac { 1 } { 9 } ( n - 1 )\)
• D) \(a _ { n } = - \frac { 1 } { 3 } \left( \frac { 1 } { 9 } \right) ^ { n - 1 }\)

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Definitions:

Ionization Potential

The minimum amount of energy required to remove the most loosely bound electron from an isolated neutral atom or molecule.

Voltage

An electrical measurement expressing the potential difference between two points, the driving force of electric current.

Electron

A subatomic particle with a negative electric charge, fundamental to electrical phenomena and components of atoms.

Electroplating

A process that uses electric current to deposit a thin layer of metal onto a conductive surface, typically for protective, decorative, or functional purposes.