Find $a _ { n } \text { and } a _ { 6 }$

question 45

Multiple Choice

Find $a _ { n } \text { and } a _ { 6 }$ for the following arithmetic sequence.
- $$a _ { 15 } = - 10 , a _ { 17 } = - 44$$

• A) \(a _ { n } = 228 + 17 ( n - 1 ) , a _ { 6 } = 1180\)
• B) \(a _ { n } = 228 - 17 ( n - 1 ) , a _ { 6 } = 330\)
• C) \(a _ { n } = 228 - 17 ( n - 1 ) , a _ { 6 } = 143\)
• D) \(a _ { n } = 228 - 17 ( n - 1 ) , a _ { 6 } = 126\)

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Definitions:

Pelagius

A theologian of the late 4th and early 5th centuries, known for his teachings on free will and his opposition to the doctrine of original sin.

Augustine

An early Christian theologian and philosopher known for his writings that influenced the development of Western Christianity and Western philosophy.

Faith

In the popular sense, a belief in something for which you have inadequate evidence or little good reason. In theology, faith usually refers to the trust a believer should have in God’s ultimate grace and fairness. Sometimes, faith is defended as a rational belief in God (for example, in Kant). More often, faith is defended against rationality (as in Kierkegaard).

Good Works

Actions or deeds that reflect moral virtue and contribute positively to the wellbeing of others.