Determine Whether the Sequence Defined as Follows Is Convergent or Divergent

question 113

Short Answer

Determine whether the sequence defined as follows is convergent or divergent. $a _ { 1 } = 1 , a _ { n + 1 } = 6 - a _ { n } \text { for } n \geq 1$

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Definitions:

Task Identity

Refers to the degree to which a job requires completion of a whole and identifiable piece of work, making it possible to see the outcome of one's efforts.

Teamwork

The collective endeavor of a team to accomplish a shared objective or finish a task in the most optimal and productive manner.

Hygiene Factor

A term in Herzberg's motivation theory, referring to extrinsic conditions that prevent dissatisfaction but do not necessarily motivate employees.

Herzberg's Motivator-Hygiene Model

A theory in organizational behavior suggesting that certain factors drive job satisfaction (Motivators), while different factors cause dissatisfaction (Hygiene factors) if not present.