Write Out the First Five Terms of the Sequence $$\left\{ ( - 1 ) ^ { n - 1 } \left( \frac { n + 1 } { 2 n - 1 } \right) \right\}$$

question 4

Multiple Choice

Write out the first five terms of the sequence.
- $$\left\{ ( - 1 ) ^ { n - 1 } \left( \frac { n + 1 } { 2 n - 1 } \right) \right\}$$

• A) \(- 2,1 , \frac { 4 } { 5 } , - \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• B) \(2 , - 1 , \frac { 4 } { 5 } , - \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• C) \(2,1 , \frac { 4 } { 5 } , \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• D) \(- 2,1 , - \frac { 4 } { 5 } , \frac { 5 } { 7 } , - \frac { 2 } { 3 }\)

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Definitions:

Vomer

A thin, flat bone that forms part of the nasal septum, which separates the left and right airways in the nose.

Ethmoid

A spongy bone located at the base of the nasal cavity that separates the nose from the brain.

Mastoid Process

A bony projection located behind the ear on the skull, part of the temporal bone, involved in muscle attachment and containing air cells linked to the middle ear.

Mastoid Air Cells

Spaces within the mastoid process of the temporal bone connected to the middle ear by ducts.