Write the First Five Terms of the Sequence $n$ Begins with 0

question 116

Multiple Choice

Write the first five terms of the sequence. (Assume that $n$ begins with 0 .)
$$a _ { n } = \frac { 3 ^ { n } } { ( n + 1 ) ! }$$

• A) \(1 , \frac { 3 } { 2 } , \frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 }\)
• B) \(\frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 } , \frac { 27 } { 80 } , \frac { 81 } { 560 }\)
• C) \(0 , \frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 } , \frac { 27 } { 80 }\)
• D) \(3 , \frac { 3 } { 8 } , \frac { 9 } { 40 } , \frac { 9 } { 80 } , \frac { 27 } { 560 }\)
• E) \(3 , \frac { 3 } { 2 } , \frac { 3 } { 8 } , \frac { 3 } { 40 } , \frac { 1 } { 80 }\)

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Definitions:

Cognitive Development

The construction of thought processes, including remembering, problem-solving, and decision-making, from childhood through adulthood.

Visual Acuity

The clarity or sharpness of vision, often measured as the ability to discern letters or numbers at a standardized distance.

Presbyopia

A nearly universal change in eyesight during middle adulthood that results in some loss of near vision.

Glaucoma

A condition in which pressure in the fluid of the eye increases, either because the fluid cannot drain properly or because too much fluid is produced.