Find the First Four Terms of the Given Sequence $$a _ { 1 } = 6 , a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { a _ { n } - 1 }$$

question 38

Multiple Choice

Find the first four terms of the given sequence.
- $$a _ { 1 } = 6 , a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { a _ { n } - 1 }$$

• A) \(6 , - \frac { 1 } { 6 } , 6 , - \frac { 1 } { 6 }\)
• B) \(- 6 , \frac { 1 } { 2 } , - \frac { 1 } { 3 } , \frac { 1 } { 4 }\)
• C) \(6 , - \frac { 1 } { 6 } , \frac { 1 } { 36 } , - \frac { 1 } { 216 }\)
• D) \(6 , - \frac { 1 } { 6 } , - 6 , \frac { 1 } { 6 }\)

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Definitions:

Biceps Brachii

A muscle of the upper arm that acts to flex the elbow and supinate the forearm.

Musculocutaneous Nerve

A nerve in the arm that innervates the biceps brachii, brachialis, and part of the brachioradialis, providing both motor and sensory functions.

Brachial Plexus

A network of nerve fibers that runs from the spine through the neck, shoulder, arm, and hand, controlling muscle movements and sensations in these areas.

Phrenic Nerve

A nerve that originates in the neck (C3-C5) and innervates the diaphragm, crucial for breathing.