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

question 9

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:

Sample Size

The number of observations or data points selected from a larger population for the purpose of statistical analysis.

Accuracy

The extent to which the outcome of a measurement, calculation, or specification aligns with the accurate value or a norm.

Performance Rating

An assessment of how well an individual, group, or system performs against defined criteria or objectives.

Normal

Pertaining to something that conforms to a standard or a pattern that is usual, typical, or expected.