Use the Principle of Mathematical Induction to Prove That $$3 \mid \left( n ^ { 3 } + 3 n ^ { 2 } + 2 n \right) \text { for all } n \geq 1$$

question 23

Short Answer

Use the Principle of Mathematical Induction to prove that $$3 \mid \left( n ^ { 3 } + 3 n ^ { 2 } + 2 n \right) \text { for all } n \geq 1$$

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Definitions:

Stereochemical Detail

Information regarding the spatial arrangement of atoms within a molecule and how this affects its chemical behavior.

Necessary Reagents

Chemical substances or mixture of substances required to start or drive a chemical reaction to convert reactants into products.

3,6-dimethylcyclohexene

An organic compound with a six-membered ring structure, having methyl groups attached at the 3rd and 6th positions.

Dry Gaseous HBr

Hydrogen bromide gas that is free from water, often used in organic synthesis as a reagent.