Write the First Five Terms of the Sequence $a _ { n } = \frac { ( n + 6 ) ! } { ( n + 3 ) ! }$

question 28

Multiple Choice

Write the first five terms of the sequence $a _ { n } = \frac { ( n + 6 ) ! } { ( n + 3 ) ! }$ . Assume that n begins with 1.

• A) \(a _ { 1 } = 120 , a _ { 2 } = 210 , a _ { 3 } = 336 , a _ { 4 } = 504 , a _ { 5 } = 720\)
• B) \(a _ { 1 } = 202 , a _ { 2 } = 330 , a _ { 3 } = 502 , a _ { 4 } = 719 , a _ { 5 } = 990\)
• C) \(a _ { 1 } = 210 , a _ { 2 } = 336 , a _ { 3 } = 504 , a _ { 4 } = 720 , a _ { 5 } = 990\)
• D) \(a _ { 1 } = 103 , a _ { 2 } = 194 , a _ { 3 } = 328 , a _ { 4 } = 501 , a _ { 5 } = 719\)
• E) \(a _ { 1 } = 336 , a _ { 2 } = 504 , a _ { 3 } = 720 , a _ { 4 } = 990 , a _ { 5 } = 1320\)

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true; a measure of the threshold of statistical significance.

Test Statistic

A standardized value calculated from sample data, used to determine whether to reject the null hypothesis in hypothesis testing.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis in hypothesis testing.

Confidence Interval

A range of numerical values sourced from sample data, envisaged to enclose the value of an undiscovered population parameter.