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

question 41

Essay

Use mathematical induction to prove the following for every positive integer $n$ .
$\sum _ { i = 1 } ^ { n } \frac { 11 } { i ( i + 1 ) ( i + 2 ) } = \frac { 11 n ( n + 3 ) } { 4 ( n + 1 ) ( n + 2 ) }$

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Definitions:

Private Wrongs

Acts or omissions that cause harm or injury to specific individuals or entities, leading to civil legal actions.

Classification

The systematic arrangement or categorization of entities or items based on shared characteristics or qualities.

Tort

A civil wrong or breach of duty to another person, recognized by law as grounds for a lawsuit, resulting in an injury or harm that warrants compensation.

Intentional Tort

A wrongful act done on purpose that causes harm to another, including acts such as assault, battery, and defamation, as distinguished from negligence.