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:

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior, influencing the probability of behavior being repeated.

Classical Conditioning

A method of learning that happens when an environmental trigger is associated with a naturally existing stimulus, yielding a trained reaction.

Social Conditioning

The process by which individuals learn the norms, values, and behaviors acceptable to their society through social interactions.

Physical Conditioning

A process of training or exercise aimed at improving physical fitness, strength, and endurance.