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

question 203

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:

Identifying

The process of recognizing and labeling specific elements or characteristics as belonging to a certain category.

Sublimating

Sublimating is a defense mechanism proposed by Freud where negative urges and impulses are converted into socially acceptable behaviors.

Displacing

Redirecting emotional impulses from a primary target to a secondary target that is considered less threatening or more acceptable.

Denial and Repression

Defense mechanisms in psychology wherein denial involves refusing to acknowledge reality, while repression involves unconsciously blocking unpleasant thoughts and feelings.