Find a Quadratic Model for the Sequence with the Indicated $a _ { 0 } = 7 , a _ { 2 } = 5 , a _ { 4 } = 11$

question 88

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. $a _ { 0 } = 7 , a _ { 2 } = 5 , a _ { 4 } = 11$

• A) \(a _ { n } = n ^ { 2 } + 7\)
• B) \(a _ { n } = n ^ { 2 } - 3 n + 7\)
• C) \(a _ { n } = n ^ { 2 } - 7 n + 7\)
• D) \(a _ { n } = n ^ { 2 } - 7 n + 3\)
• E) \(a _ { n } = n ^ { 2 } + n + 7\)

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Definitions:

Increasing-Cost Industry

An industry where the costs of production increase as the output expands, often due to factors like resource depletion and higher input prices.

LRAC Curve

Long-Run Average Cost Curve, showing the lowest cost at which a firm can produce any given level of output in the long run, where all inputs are variable.

Increasing-Cost Industry

An industry in which production costs increase as firms enter the market, often due to limited resources or factors of production.

Industry Supply Schedule

A chart or graph showing the varying quantities of a product that producers are willing to supply at different price levels.