Find a Quadratic Model for the Sequence with the Indicated $\frac { 7 } { 3 }$

question 10

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. ​
A₀ = 8,a₁ = 4,a₃ = 10
​

• A)a_n = \(\frac { 7 } { 3 }\) n² \(- \frac { 19 } { 3 }\) n - 8
• B)a_n = 8n² \(- \frac { 19 } { 3 }\) n + \(\frac { 7 } { 3 }\)
• C)a_n = \(- \frac { 19 } { 3 }\) n² + \(\frac { 7 } { 3 }\) n - 8
• D)a_n = 8n² \(- \frac { 19 } { 3 }\) n - \(\frac { 7 } { 3 }\)
• E)a_n = \(\frac { 7 } { 3 }\) n² \(- \frac { 19 } { 3 }\) n + 8

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Definitions:

Saprotrophs

Organisms that feed on and decompose dead organic matter, recycling nutrients back into the environment.

Diatoms

A major group of algae, specifically microalgae, characterized by their unique cell walls composed of silica.

Unicellular Alga

A single-celled microorganism in the algae family, which conducts photosynthesis and lives in aquatic environments.

Whirls

Circular or spiraling patterns or movements.