Use Mathematical Induction to Prove the Following $$6 + 12 + 18 + \ldots + 6 n = 3 n ( n + 1 )$$

question 85

Essay

Use mathematical induction to prove the following.
- $$6 + 12 + 18 + \ldots + 6 n = 3 n ( n + 1 )$$

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Definitions:

Product Liability

The legal responsibility of manufacturers, wholesalers, or retailers for injuries or damages caused by defective products they provide or sell.

Personal Injury

Physical or psychological harm to a person due to another's negligence or harmful act.

Causation In Fact

Causation brought about by an act or omission without which an event would not have occurred.

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Proximate Cause is a legal concept that connects an individual’s actions to the resulting effect, determining whether the actions are legally deemed to cause a particular outcome.