Find the Nth Term $a _ { n }$ Of a Sequence Whose First Four Terms Are Given

question 159

Multiple Choice

Find the nth term $a _ { n }$ of a sequence whose first four terms are given.
- $$1 , - 16,81 , - 256$$

• A) \(a _ { n } = ( - 1 ) ^ { n + 1 } \left( n ^ { 4 } \right)\)
• B) \(a _ { n } = ( - 1 ) ^ { n } \left( n ^ { 4 } \right)\)
• C) \(a _ { n } = - n ^ { 4 }\)
• D) \(a _ { n } = n ^ { 4 }\)

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Definitions:

Extracellular Digestion

The breakdown of food outside cells, typically seen in simple organisms or in certain animal digestive systems.

Decomposers

Organisms, such as fungi and bacteria, that break down dead or decaying organisms, and in doing so carry out the natural process of decomposition.

Multicellular

Organisms composed of more than one cell, with cells differentiated to perform specialized functions, found in most life forms including plants, animals, and fungi.

Club Fungi

Fungi belonging to the division Basidiomycota, characterized by their reproductive structure shaped like a club.