Find a Quadratic Model for the Sequence with the Indicated $$a _ { 0 } = 7 , a _ { 2 } = 3 , a _ { 5 } = 12$$

question 98

Multiple Choice

Find a quadratic model for the sequence with the indicated terms.
$$a _ { 0 } = 7 , a _ { 2 } = 3 , a _ { 5 } = 12$$

• A) \(a _ { n } = n ^ { 2 } + 7\)
• B) \(a _ { n } = n ^ { 2 } - 4 n + 7\)
• C) \(a _ { n } = n ^ { 2 } - 7 n + 7\)
• D) \(a _ { n } = n ^ { 2 } - 7 n + 4\)
• E) \(a _ { n } = n ^ { 2 } - n + 7\)

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Definitions:

Internal Desynchronization

A state where there is a misalignment between an individual's internal biological clock and the external environment, often leading to sleep disorders and other health issues.

Biological Rhythm

The natural cycle of physical, emotional, and intellectual fluctuations in living organisms, governed by internal biological clocks.

Physiological Functioning

The ways in which the various systems of the body operate and maintain health, including respiratory, circulatory, and nervous systems.

Living Organism

Any entity that exhibits the characteristics of life, such as growth, reproduction, and the ability to respond to stimuli.