Find $a _ { 8 }$ Of the Sequence $a _ { n } = \frac { n ^ { 2 } - 7 } { ( n - 2 ) ! }$

question 52

Multiple Choice

Find $a _ { 8 }$ of the sequence $a _ { n } = \frac { n ^ { 2 } - 7 } { ( n - 2 ) ! }$ .

• A) \(a _ { 8 } = \frac { 32 } { 361 }\)
• B) \(a _ { 8 } = - \frac { 32 } { 361 }\)
• C) \(a _ { 8 } = - \frac { 19 } { 1680 }\)
• D) \(a _ { 8 } = \frac { 19 } { 1680 }\)
• E) \(a _ { 8 } = \frac { 19 } { 240 }\)

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Definitions:

Scratch Marks

Linear abrasions on rock surfaces caused by the movement of glaciers, sediments, or other geological processes.

Folding

The bending of rock layers due to stress in the Earth's crust, often resulting in wave-like structures known as anticlines and synclines.

Banded Rock

Rock that displays layers or bands of different colors or textures, often resulting from varying mineral compositions or sediment deposition.

Coarse Crystals

Large, visible crystals often found in igneous rocks, indicating slow cooling of magma.