Use Mathematical Induction to Prove the Statement Is True for All

question 128

Essay

Use mathematical induction to prove the statement is true for all positive integers n.
- $$\text { The integer } n ^ { 3 } + 2 n \text { is divisible by } 3 \text { for every positive integer } n \text {. }$$

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Definitions:

Sexual Interest

The desire or attraction one feels towards others, either generally or specifically, which can vary greatly among individuals.

AIDS Virus

The human immunodeficiency virus (HIV) that causes AIDS, a chronic, potentially life-threatening condition affecting the immune system.

Condoms

Barrier devices used during sexual intercourse to reduce the probability of pregnancy and the spread of sexually transmitted infections.

Comarital Sex

Sexual relations between a married person and someone other than their spouse with the consent of the spouse.