Select the Right Expression for the Following Sum and Prove $n$

question 216

Multiple Choice

Select the right expression for the following sum and prove that your statement is true for all natural numbers $n$ .
$$P _ { \mathrm { n } } : 8 + 6 + 4 \ldots ( 10 - 2 n )$$

• A) \(\quad 11 n - 2 n ^ { 2 }\)
• B) \(\quad 9 n - n ^ { 2 }\)
• C) \(\quad 11 n - n ^ { 2 }\)
• D) \(\quad 9 n - 2 n ^ { 2 }\)
• E) none of the above

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Definitions:

Government Regulation

Laws and rules established by governmental agencies aimed at controlling the way businesses can operate within the economy.

Systematic Risk

A hazard inherent to the entire market or a market segment, which diversification cannot diminish.

Unsystematic Risk

Refers to the risk that is specific to a company or industry, and can be mitigated through diversification.

Portfolio Beta

A measure of the sensitivity of a portfolio's returns to the returns of the overall market, indicating the level of market risk associated with the portfolio.