Write a Formula for the General Term, or Nth Term $a _ { n } = ( - 1 ) ^ { n } ( 4 ) ^ { n }$

question 127

Multiple Choice

Write a formula for the general term, or nth term, for the given sequence.
--4, 16, -64, 256, -1024, . . .

• A) \(a _ { n } = ( - 1 ) ^ { n } ( 4 ) ^ { n }\)
• B) \(a _ { n } = ( - 1 ) ^ { n - 1 } ( 4 ) ^ { n }\)
• C) \(a _ { n } = - 4 + 12 ( n - 1 )\)
• D) \(a _ { n } = ( - 1 ) ^ { n } ( 4 n )\)

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Definitions:

Instincts

Innate, typically fixed patterns of behavior in animals in response to certain stimuli.

Emotions

Affective states that are experienced as a response to internal or external events and are associated with physiological, behavioral, and cognitive changes.

Primary Drives

Basic physiological needs such as hunger, thirst, and sleep, which motivate behavior to ensure survival.

Stimuli

External factors or events that elicit a physiological or psychological response in an organism.