Write the First Four Terms of the Sequence Whose General $$a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$$

question 23

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$$

• A) \(\frac { 1 } { 8 } , \frac { 3 } { 40 } , \frac { 3 } { 40 } , \frac { 9 } { 280 }\)
• B) \(\frac { 1 } { 8 } , \frac { 3 } { 40 } , \frac { 3 } { 80 } , \frac { 9 } { 560 }\)
• C) \(\frac { 3 } { 4 } , \frac { 9 } { 5 } , \frac { 9 } { 2 } , \frac { 81 } { 7 }\)
• D) \(\frac { 3 } { 7 } , \frac { 9 } { 8 } , 3 , \frac { 81 } { 10 }\)

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Definitions:

Upper Partial Standard Deviation

A statistical measure focusing on the variability of an investment's returns above the mean, used to assess the risk of higher-than-average returns.

Holding-Period Return

The return on an investment over the period it is held, incorporating both income and capital gains.

Dividend

A distribution of profits by a corporation to its shareholders, often in the form of a payment.

Expected Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of expected values, often used to quantify the risk associated with a particular asset or investment.