Use Mathematical Induction to Prove the Following for Every Positive $n$

question 18

Essay

Use mathematical induction to prove the following for every positive integer $n$ .
$$\sum _ { i = 1 } ^ { n } \frac { 17 } { i ( i + 1 ) ( i + 2 ) } = \frac { 17 n ( n + 3 ) } { 4 ( n + 1 ) ( n + 2 ) }$$

---

Definitions:

Discipline Measure

Strategies or actions taken to enforce rules and encourage proper behavior.

Time-out

A disciplinary technique that involves placing a child in a boring or isolation spot for a brief period to calm down.

Adoption Guidelines

The rules and procedures set by authorities or organizations for adopting a child, to ensure the welfare of the child.

Extended Family

A family group that extends beyond the nuclear family to include other relatives such as grandparents, aunts, uncles, and cousins.