Write the First Four Terms of the Sequence $$a _ { n } = \frac { 2 ^ { n } } { ( n + 2 ) ! }$$

question 170

Multiple Choice

Write the first four terms of the sequence.
- $$a _ { n } = \frac { 2 ^ { n } } { ( n + 2 ) ! }$$

• A) \(\frac { 1 } { 3 } , \frac { 1 } { 6 } , \frac { 2 } { 15 } , \frac { 2 } { 45 }\)
• B) \(\frac { 2 } { 3 } , 1 , \frac { 8 } { 5 } , \frac { 8 } { 3 }\)
• C) \(\frac { 3 } { 2 } , 1 , \frac { 8 } { 5 } , \frac { 3 } { 8 }\)
• D) \(\frac { 1 } { 3 } , \frac { 1 } { 6 } , \frac { 1 } { 15 } , \frac { 1 } { 45 }\)

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Definitions:

Goodness-of-Fit Test

A statistical test used to determine if a set of observed data matches the expected distribution.

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.

Chi-Square Goodness-of-Fit Test

This statistical test evaluates if there is a significant difference between observed frequencies and expected frequencies in one or more categories.

Two-Tail Test

another way of conducting hypothesis testing that checks for the possibility of both positive and negative differences.