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:

Magnification

The process of making something appear larger than it actually is, often using lenses or microscopes.

Carbamates

A group of organic compounds used as insecticides, herbicides, or in pharmaceuticals, derived from carbamic acid.

Herbicides

Chemical substances used to control or kill unwanted plants (weeds), often used in agriculture and landscaping.

Systemic Chemicals

Chemical substances that are absorbed by an organism, affecting its entire system rather than a localized area, often used in plants to provide internal protection against pests.