Find the General Term, An, of the Given Geometric Sequence $2 , \frac { 1 } { 4 } , \frac { 1 } { 32 } , \ldots$

question 103

Multiple Choice

Find the general term, an, of the given geometric sequence.
- $2 , \frac { 1 } { 4 } , \frac { 1 } { 32 } , \ldots$

• A) \(a _ { n } = 2 \left( \frac { 1 } { 8 } \right) ^ { n - 1 }\)
• B) \(a _ { n } = 2 + \frac { 1 } { 8 } ( n - 1 )\)
• C) \(a _ { n } = 2 ^ { n - 1 } - \frac { 7 } { 4 }\)
• D) \(a _ { n } = 2 - \frac { 7 } { 4 } ( n - 1 )\)

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Definitions:

Choroiditis

Inflammation of the choroid, a vascular layer of the eye, leading to vision problems.

Cycloplegia

Paralysis of the ciliary muscle of the eye, resulting in a loss of accommodation and inability to focus on close objects.

Keratitis

Inflammation of the cornea, the clear outer layer at the front of the eye, potentially caused by infection or injury.

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An inflammation of the eyelid margins, often causing redness, irritation, and itchy eyelids together with dandruff-like scales on the eyelashes.