Find a Quadratic Model for the Sequence with the Indicated $a _ { 0 } = - 3 , a _ { 2 } = - 7 , a _ { 6 } = - 57$

question 8

Multiple Choice

Find a quadratic model for the sequence with the indicated terms.​ $a _ { 0 } = - 3 , a _ { 2 } = - 7 , a _ { 6 } = - 57$ ​

• A)an = \(\frac { 3 } { 2 }\) n² - \(\frac { 7 } { 4 }\) n - 3
• B)an = -3n² + \(\frac { 3 } { 2 }\) n - \(\frac { 7 } { 4 }\)
• C)an = \(- \frac { 7 } { 4 }\) n² + \(\frac { 3 } { 2 }\) n - 3
• D)an = - \(\frac { 7 } { 4 }\) n² + \(\frac { 3 } { 2 }\) n + 3
• E)an = 3n² + \(\frac { 3 } { 2 }\) n - \(\frac { 7 } { 4 }\)

---

Definitions:

Acquiring Firm

A firm that acquires or gains control over another business by means of a merger, acquisition, or takeover.

Parent

The controlling company in a group of companies, which owns a controlling interest in one or more subsidiaries.

Vertical Merger

A business strategy where a company merges with another company that operates in the same industry but at a different stage of the production process.

Supplier-Customer Relationships

The interactions and transactions between a provider of goods or services and the entity that purchases them.