Find a Formula For $a _ { n }$ For the Arithmetic Sequence

question 10

Multiple Choice

Find a formula for $a _ { n }$ for the arithmetic sequence.
$$a _ { 3 } = 19 , a _ { 13 } = 99$$

• A) \(a _ { n } = 3 + 8 n\)
• B) \(a _ { n } = 5 + 3 n\)
• C) \(a _ { n } = 8 + 3 n\)
• D) \(a _ { n } = 3 ( 8 ) ^ { n }\)
• E) \(a _ { n } = - 5 + 8 n\)

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Definitions:

Innate Capacity

An inherent ability or potential present from birth, not developed through experience.

Psychosexual Stage

A concept in Freudian psychoanalysis that describes five stages of development (oral, anal, phallic, latency, and genital) through which a child's personality and sexual behavior mature.

Fixation

An obsessive interest or feeling towards a person, idea, or object, often leading to persistent focus on the subject.

Psychosexual Stage

A concept in Freudian psychoanalysis referring to five stages of childhood development, each characterized by the erogenous zone that is the source of a child's psychosexual energy.