Use Mathematical Induction to Prove the Statement Is True for All

question 77

Short Answer

Use mathematical induction to prove the statement is true for all positive integers n.
- $$3 + 2 \cdot 3 + 3 \cdot 3 + \ldots + 3 n = \frac { 3 n ( n + 1 ) } { 2 }$$

---

Definitions:

Mission Statements

Formal summary statements that define the purpose, goals, and values of an organization or company.

Strategic Plans

Frameworks developed by organizations to guide their long-term decision-making and resource allocation based on objectives.

Ethical Duty

A moral obligation to act in a manner that is considered to be right or virtuous, often guiding professional conduct and decision-making.

Legal Duty

An obligation recognized by law that requires an individual or entity to conform to a certain standard of conduct.