Use Mathematical Induction to Solve for All Positive Integers N $16 + 34 + 52 + 70 + \ldots + ( 18 n - 2 ) = ?$

question 253

Multiple Choice

Use mathematical induction to solve for all positive integers n. $16 + 34 + 52 + 70 + \ldots + ( 18 n - 2 ) = ?$

• A) \(\frac { n ( n + 16 ) ( 16 n + 1 ) } { 6 }\)
• B) \(\frac { n } { 2 } ( 3 n + 1 )\)
• C) \(\frac { n } { 2 } ( 3 n + 14 )\)
• D) \(n ( n + 16 )\)
• E) \(\frac { n ( n + 16 ) } { 2 }\)

Grasp the Coase theorem and its application to solving externalities.

Understand the law of diminishing marginal utility and its impact on marginal benefit curves.

Recognize the effects of externalities on resource allocation and how government interventions like Pigovian taxes and cap-and-trade can address these issues.

Understand the principles of adverse selection and moral hazard in the context of insurance markets.

---

Definitions:

Baby Boomers

A demographic group born during the post-World War II baby boom, approximately between the years 1946 and 1964.

Health Care System

An organized framework that delivers medical care services to the population, involving institutions, policies, and resources.

Voluntary Early Retirement

A program offered by some organizations allowing employees to retire early with benefits, often as a cost-saving measure.

Zero Population Growth

A demographic balance where the number of people in a specified population neither grows nor declines, due to the birth rate equaling the death rate.