Determine Whether the Sequence Defined By $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$

question 25

Multiple Choice

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

• A) 13
• B) 5
• C) Diverges
• D) \(- 3\)

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Definitions:

Mississippi River

A major river in the United States, flowing over 2,300 miles from its source in Minnesota to the Gulf of Mexico, and playing a key role in the ecology, economy, and history of North America.

Earth's Concentric Zones

Refers to the internal layers of the Earth, which include the crust, mantle, outer core, and inner core, arranged from surface to center.

Mantle

The thick layer of rock between the Earth's crust and core, playing a key role in tectonic movement and heat transfer.

Core

The innermost layer of the Earth, composed of an iron-nickel alloy and divided into a solid inner core and a liquid outer core.