Determine Whether the Sequence Defined By $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$

question 140

Multiple Choice

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

• A) 1
• B) \(\frac { 5 } { 8 }\)
• C) 0
• D) Diverges

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Definitions:

Rapidly Drained

Describes a situation or process where resources or energy are depleted at an accelerated rate.

Organizational Concern

Involves issues or challenges faced by an organization that can affect its operational efficiency and overall success.

Generation Nexus

The connection or link between different generations in the workplace, focusing on their interaction, communication, and mutual influences.

Demographic-Related Problem

Issues or challenges that arise within groups of people that can be categorized by specific demographic factors such as age, race, or gender.