Use Mathematical Induction to Prove That the Statement Is True $$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots + n ( n + 1 ) = \frac { n ( n + 1 ) ( n + 2 ) } { 3 }$$

question 76

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots + n ( n + 1 ) = \frac { n ( n + 1 ) ( n + 2 ) } { 3 }$$

---

Definitions:

Self-Discipline

The capacity to manage personal emotions and conquer personal flaws; the power to follow through with one's convictions regardless of the temptation to forsake them.

Trusting Relationship

A relationship characterized by confidence, reliance, and faith between parties, often leading to enhanced communication and cooperation.

Prescriptive

Providing recommendations or rules about what should be done, often based on norms, standards, or theories.

Theoretical Approach

pertains to a conceptual framework or system of ideas that is used to explain a phenomenon or guide research and practice.