Find a Formula for the Nth Term of the Sequence $1 , \frac { 1 } { 8 } , \frac { 1 } { 27 } , \frac { 1 } { 64 } , \ldots$

question 56

Multiple Choice

Find a formula for the nth term of the sequence. $1 , \frac { 1 } { 8 } , \frac { 1 } { 27 } , \frac { 1 } { 64 } , \ldots$

• A) \(a ^ { n } = 3 ^ { n }\)
• B) \(a ^ { n } = \frac { 1 } { n ^ { 3 } }\)
• C) \(a ^ { n } = n ^ { 3 }\)
• D) \(a ^ { n } = \frac { 1 } { 3 ^ { n } }\)

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Definitions:

Fossa

A depression or sunken area in the bone, usually where muscles or tendons attach.

Bone Marking

Features on bones, such as ridges and bumps, that indicate where muscles, tendons, and ligaments attach.

Articular Surface

The surface of a bone that comes into contact with another bone to form a joint, facilitating smooth movement between them.

Facet

A small, smooth, flat surface on a bone, often where two bones articulate.