Write a Formula for the General Term (The Nth Term) $$a _ { 1 } = - 7 , d = 0.5$$

question 100

Multiple Choice

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20,
the 20th term of the sequence.
- $$a _ { 1 } = - 7 , d = 0.5$$

• A) \(a _ { n } = - 7 n + 7.5 ; a _ { 20 } = - 132.5\)
• B) \(a _ { n } = - 7 n + 0.5 ; a _ { 20 } = - 139.5\)
• C) \(a _ { n } = 0.5 n - 7 ; a _ { 20 } = 3\)
• D) \(a _ { n } = 0.5 n - 7.5 ; a _ { 20 } = 2.5\)

---

Definitions:

Categorical Imperative

A fundamental principle in the ethical philosophy of Immanuel Kant that requires that individuals act in a manner in which they wish their actions to become universal laws.

Ethical Imperative

A strong moral obligation or duty which compels someone to act in a certain way based on ethical considerations.

Rational Agents

Entities capable of making decisions based on reasoning, often in the context of economic models or artificial intelligence.

Intrinsic Worth

This refers to the inherent value that an entity has, independent of its utility or benefit to others.