Select the First Five Terms of the Sequence Defined Recursively $$a _ { 1 } = 9 , a _ { k + 1 } = a _ { k } + 3$$

question 11

Multiple Choice

Select the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1. ) ​ $$a _ { 1 } = 9 , a _ { k + 1 } = a _ { k } + 3$$ ​

• A) \(\begin{array} { l }
• 9,12,15,18,21 \\
• a _ { n } = 3 n + 3
• \end{array}\)
• B) \(\begin{array} { l }
• 9,12,15,18,21 \\
• a _ { n } = 6 n + 3
• \end{array}\)
• C) \(\begin{array} { l }
• 9,12,15,18,21 \\
• a _ { n } = 3 n + 6
• \end{array}\)
• D) \(\begin{array} { l }
• 9,12,15,18,21 \\
• a _ { n } = 6 n - 3
• \end{array}\)
• E) \(\begin{array} { l }
• 9,12,15,18,21 \\
• a _ { n } = 3 n - 6
• \end{array}\)

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Definitions:

Portfolio Beta

A measure of the volatility, or systematic risk, of a portfolio of investments compared to the market as a whole.

Individual Securities

are financial instruments such as stocks or bonds that are owned directly by investors, as opposed to being part of a pooled investment.

Weighted Average

A calculation method that multiplies each component by a factor reflecting its importance and sums these products to derive an average.

CAPM

The Capital Asset Pricing Model (CAPM) is a financial model that describes the relationship between systematic risk and expected return for assets, particularly stocks.