Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

question 18

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $3 , \frac { 3 } { 2 } , \frac { 3 } { 4 } , \frac { 3 } { 8 } , \frac { 3 } { 16 } , \ldots$

• A) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• B) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right) ^n\)
• C) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right)^{ n + 1}\)
• D) \(a _ { n } = 3 \left( \frac { 1 } { 4 } \right)^{ n - 1}\)

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Definitions:

Vocal Cords

Elastic bands of muscle tissue in the larynx involved in producing sound through their vibration as air passes through.

Larynx

The voice box; an organ located in the neck responsible for producing sound.

Bronchi

The main air passages into the lungs, branching from the trachea and allowing air to flow in and out of the lungs.

Larynx

Often referred to as the voice box, an organ in the top of the neck involved in breathing, sound production, and protecting the trachea against food aspiration.