Determine Whether the Sequence Defined By $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$

question 81

Short Answer

Determine whether the sequence defined by $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$ converges or diverges. If it converges, find its limit.

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Definitions:

Pesticide Spray

The application of chemicals designed to control, repel, or kill pests on plants, soil, or other surfaces.

Contributory Negligence

Contributory negligence is a legal doctrine that denies or limits a plaintiff's ability to recover damages if their own negligence contributed to the harm they suffered.

Reasonable Person

A hypothetical individual in society who exercises average care, skill, and judgment in conduct and who serves as a comparative standard for determining liability.

Res Ipsa Loquitur

A legal doctrine allowing the presumption of negligence in a case where the exact cause of harm is unknown but it is clear the defendant had control.