Prove That the Following Is True for All Positive Integers

question 59

Essay

Prove that the following is true for all positive integers n: n is even if and only if 3n² + 8 is even.

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Definitions:

Insurable Interest

A real and substantial interest in specific property or in someone’s life.

Insured-against Event

A specific occurrence or risk covered under an insurance policy, for which the insurer agrees to compensate the insured party if it happens.

Professional Malpractice

Negligence or incompetence on the part of a professional, such as a doctor or lawyer, that results in harm to a client or patient.

Liability Insurance

Insurance coverage that protects against claims arising from injuries or damage to other people or property.