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. $a _ { 1 } = 1 , a _ { n + 1 } = 6 - a _ { n } \text { for } n \geq 1$

---

Definitions:

Mechanistic Design

An organization structure that is centralized, with many rules and procedures, a clear-cut division of labour, narrow spans of control, and formal coordination.

Decentralization

The distribution of administrative powers or functions across various levels and departments within an organization, promoting autonomy and flexibility.

Wider Spans Of Control

A management principle whereby a manager supervises a larger number of subordinates, which can lead to more autonomy but also requires more efficient communication.

Effective Delegation

The skill of assigning tasks and authority to subordinates in a way that maximizes efficiency, development, and empowerment.