Write an Expression for the Apparent Nth Term of the Sequence.(Assume

question 55

Multiple Choice

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1. ) ​ $$\frac { 1 } { 5 } , \frac { 4 } { 25 } , \frac { 16 } { 125 } , \frac { 64 } { 625 }$$ ​

• A) \(a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n } }\)
• B) \(a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n - 1 } }\)
• C) \(a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n + 1 } }\)
• D) \(a _ { n } = \frac { 4 ^ { n } } { 5 ^ { n } }\)
• E) \(a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n } }\)

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Definitions:

Commonsense Understanding

The basic level of practical knowledge and reasoning about everyday situations and tasks.

Scientific Attitude

A mindset characterized by skepticism, open-mindedness, and the reliance on empirical evidence and systematic observation for understanding phenomena.

Skepticism

An attitude of doubt or a disposition to incredulity either in general or toward a particular object.

Hindsight Bias

The tendency to perceive events as having been predictable after they have already occurred.