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

question 165

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.
-Jacie is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $190 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at the end of her first year.

• A) \(a _ { n } = 2810 + 190 n ; \$ 5090\)
• B) \(a _ { n } = 3000 + 190 n ; \$ 5280\)
• C) \(a _ { n } = 2810 + 190 ( n - 1 ) ; \$ 4900\)
• D) \(a _ { n } = 3000 + 190 n ; \$ 5090\)

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Definitions:

Ketone Bodies

Water-soluble molecules produced by the liver from fatty acids during periods of low food intake, carbohydrate restrictive diets, fasting, or prolonged intense exercise.

Carbohydrate Diet

A diet that emphasizes foods high in carbohydrates, such as grains, fruits, and vegetables.

Low-Fat

Refers to foods or diets that contain a reduced amount of fat, especially saturated fat, compared to their standard versions.

Oxidative Deamination

A biochemical process in which an amine group is removed from an amino acid or other compound, usually resulting in the formation of an imine and the liberation of ammonia, often coupled with the reduction of NAD+ to NADH.