The Terms of a Series Are Defined Recursively by the Equations

question 5

Short Answer

The terms of a series are defined recursively by the equations $a _ { 1 } = 6 , a _ { n + 1 } = \frac { 7 n + 1 } { 6 n + 3 } a _ { n }$ .
Determine whether $\sum a _ { n }$ converges or diverges.

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Definitions:

Needs for Affiliation

The desire or drive to form relationships, be part of a group, or feel connected and accepted by others.

Directive Leadership

A leadership approach where the leader provides clear instructions and expectations, and closely supervises tasks.

Internal Locus of Control

The belief that individuals control their own fate and outcomes through their actions and decisions.

Participative Leadership

A leadership style that involves employees or team members in the decision-making process to encourage engagement and commitment.