Use Mathematical Induction to Solve for All Positive Integers N $4 + 8 + 12 + 16 + \ldots + 2 n = ?$

question 15

Multiple Choice

Use mathematical induction to solve for all positive integers n.​ $4 + 8 + 12 + 16 + \ldots + 2 n = ?$ ​

• A) \(( n + 3 ) n\)
• B) \(\frac { n ( n + 2 ) } { 2 }\)
• C) \(( n + 2 ) n\)
• D) \(\left( \frac { n ( n + 2 ) } { 2 } \right) ^ { 2 }\)
• E) \(\frac { n ( n + 1 ) ( n + 2 ) } { 6 }\)

---

Definitions:

Proposition

A statement or assertion that expresses a judgment or opinion.

Declarative Assertion

A statement that conveys information or expresses a fact openly and confidently.

Formulating Concepts

The process of creating and defining ideas, principles, or theories through abstract thinking and combining information.

Scholarly Work

Academic or intellectual work that involves rigorous research and scholarship, often contributing new knowledge to a particular field of study.