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

question 58

Multiple Choice

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

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

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Definitions:

Optimal Risky Portfolio

A portfolio that offers the highest expected return for a given level of risk or the lowest risk for a given level of expected return, according to modern portfolio theory.

Risk Free Rate

The theoretical return on an investment with zero risk, often represented by government bonds or treasury bills of a stable country.

Standard Deviation

A statistical measurement that sheds light on the dispersion or spread of a set of numbers or data points around the mean value.

Diversifiable Risk

A type of investment risk that can be reduced or eliminated through portfolio diversification, as opposed to systemic risk which affects all investments.