Write a Formula for the General Term (The Nth Term) $$\mathbf { a } _ { \mathbf { n } }$$

question 289

Multiple Choice

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for $$\mathbf { a } _ { \mathbf { n } }$$ to find $$a _ { 20 }$$ , the 20th term of the sequence.
- $20,14,8,2 , \ldots$

• A) \(a _ { n } = - 6 n + 26 ; a _ { 20 } = - 94\)
• B) \(a _ { n } = - 6 n + 20 ; a _ { 20 } = - 100\)
• C) \(a _ { n } = 6 n - 26 ; a _ { 20 } = 94\)
• D) \(a _ { n } = 6 n - 20 ; a _ { 20 } = 100\)

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Definitions:

Vicarious Dissonance

A psychological phenomenon in which an individual experiences dissonance or conflict by observing another person engage in behavior that contradicts their beliefs or values.

Self-Affirmation Theory

A psychological theory suggesting that individuals can maintain their self-integrity by focusing on important aspects of their self-concept, especially when faced with threats.

Representativeness Heuristic

A cognitive short-cut in which instances are assigned to categories or types on the basis of overall similarity or resemblance to the category.

Induced Compliance

A special case of cognitive dissonance: inconsistency is experienced when a person is persuaded to behave in a way that is contrary to an attitude.