Find the First Five Terms of the Sequence $a _ { n } = \frac { n + 5 } { n ^ { 2 } + 5 }$

question 242

Multiple Choice

Find the first five terms of the sequence. $a _ { n } = \frac { n + 5 } { n ^ { 2 } + 5 }$

• A) \(\alpha _ { 1 } = 1 , \alpha _ { 2 } = \frac { 7 } { 9 } , \alpha _ { 3 } = \frac { 4 } { 7 } , \alpha _ { 4 } = \frac { 3 } { 7 } , \alpha _ { 5 } = \frac { 1 } { 3 }\)
• B) \(\alpha _ { 1 } = 1 , \alpha _ { 2 } = \frac { 9 } { 7 } , \alpha _ { 3 } = \frac { 4 } { 7 } , \alpha _ { 4 } = \frac { 3 } { 7 } , \alpha _ { 5 } = 3\)
• C) \(\alpha _ { 1 } = \frac { 1 } { 2 } , \alpha _ { 2 } = \frac { 9 } { 7 } , \alpha _ { 3 } = \frac { 4 } { 7 } , \alpha _ { 4 } = \frac { 3 } { 7 } , \alpha _ { 5 } = \frac { 1 } { 3 }\)
• D) \(\alpha _ { 1 } = 1 , \alpha _ { 2 } = \frac { 9 } { 7 } , \alpha _ { 3 } = \frac { 4 } { 7 } , \alpha _ { 4 } = \frac { 3 } { 7 } , \alpha _ { 5 } = \frac { 1 } { 3 }\)
• E) \(\alpha _ { 1 } = \frac { 1 } { 2 } , \quad \alpha _ { 2 } = \frac { 7 } { 9 } , \alpha _ { 3 } = \frac { 4 } { 7 } , \alpha _ { 4 } = \frac { 3 } { 7 } , \alpha _ { 5 } = 3\)

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Utopian Communities

Idealized or visionary communities that aim to create a perfect society through shared values and communal living.

Communism

A political and economic ideology proposing the communal ownership of the means of production and the elimination of class systems, aiming for a stateless, classless society.

Socialism

A political and economic theory advocating for collective or governmental ownership and administration of the means of production and distribution of goods.

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The unauthorized taking of company property, whether tangible or intangible, by employees for personal use.