Find The $1000 ^ { \mathrm { th } }$ Term of the Sequence

question 46

Multiple Choice

Find the $1000 ^ { \mathrm { th } }$ term of the sequence $a _ { n } = ( - 1 ) ^ { n } \frac { n + 2 } { n }$

• A) \(a _ { 1000 } = - \frac { 501 } { 500 }\)
• B) \(a _ { 1000 } = \frac { 251 } { 250 }\)
• C) \(a _ { 1000 } = \frac { 126 } { 125 }\)
• D) \(a _ { 1000 } = - \frac { 126 } { 125 }\)
• E) \(a _ { 1000 } = \frac { 501 } { 500 }\)

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Definitions:

Temporal

Related to time or also pertaining to the temples of the head near the temporal bones of the skull.

Sphenoid

A butterfly-shaped bone at the base of the skull, behind the eyes, touching on various important structures and enclosing the pituitary gland.

Maxilla

the upper jawbone in vertebrates, which is key to the formation of the palate, nose, and eye orbits.

Lumbar Curvature

The inward curve of the lumbar spine (lower back), which is a natural part of the spine's shape.