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

question 41

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:

Chemical Substances

Naturally occurring or artificially created compounds or elements.

Electrical Impulses

Rapid electrical signals that travel along neurons or muscle fibers to facilitate communication within the body.

Skeletal Muscle

A type of striated muscle tissue attached to bones, responsible for initiating and controlling voluntary movements.

Electrical Stimulation

A therapeutic treatment that uses electric current for pain relief, muscle stimulation, and healing enhancement.