Find a Quadratic Model for the Sequence with the Indicated $$a _ { 0 } = 3 , a _ { 1 } = 1 , a _ { 4 } = 31$$

question 40

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. $$a _ { 0 } = 3 , a _ { 1 } = 1 , a _ { 4 } = 31$$

• A) \(a _ { n } = 3 n ^ { 2 } + 3\)
• B) \(a _ { n } = 3 n ^ { 2 } - 5 n + 3\)
• C) \(a _ { n } = 3 n ^ { 2 } - 3 n + 3\)
• D) \(a _ { n } = 3 n ^ { 2 } - 3 n + 5\)
• E) \(a _ { n } = n ^ { 2 } + 5 n + 3\)

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Definitions:

Contact Motive

The inherent desire or drive in individuals to seek out social interactions and establish connections with others.

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The act of holding someone closely in one's arms as a way of showing affection, which can increase oxytocin levels and reduce stress.

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The driving intention behind influencing or controlling someone's behavior or emotions for one's own purposes.

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In psychology, it may refer to the use of repetitive, gentle tapping on specific body parts to reduce emotional distress; in a broader sense, it may simply mean to lightly strike or touch.