Use the Definition of Big-O to Prove That $$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \cdots + ( n - 1 ) \cdot n \text { is } O \left( n ^ { 3 } \right)$$

question 13

Short Answer

Use the definition of big-O to prove that $$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \cdots + ( n - 1 ) \cdot n \text { is } O \left( n ^ { 3 } \right)$$

---

Definitions:

Ethical Principles

The fundamental guidelines for moral conduct that inform ethical decisions and actions, embracing values such as fairness, responsibility, and respect for others.

Business Situations

Various scenarios or contexts within the business environment, such as negotiations, strategic planning, or crisis management, that require specific approaches or decisions.

Ethical Corporations

Companies that adhere to moral principles and practices in their business operations, including fairness, integrity, and responsibility.

Conflict of Interest

A situation in which a person's personal interests could improperly influence the performance of their professional duties or responsibilities.