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

question 104

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.
- $$a _ { n } = a _ { n - 1 } - 6 , a _ { 1 } = 35$$

• A) \(a _ { n } = - 6 n + 41 , a _ { 20 } = - 79\)
• B) \(\mathrm { a } _ { \mathrm { n } } = 35 \mathrm { n } + 41 , \mathrm { a } _ { 20 } = 741\)
• C) \(a _ { n } = - 6 n + 29 , a _ { 20 } = - 91\)
• D) \(a _ { n } = 29 n + 35 , a _ { 20 } = 615\)

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Definitions:

Variable

An element, feature, or factor that is likely to vary or change in ways that can affect the outcome of research or experiments.

Fixed

Typically refers to costs or assets that remain constant and do not vary with the level of activity or production.

Linear Relationship

A direct relationship between two variables that can be represented graphically as a straight line, indicating consistent proportionality.

Relevant Range

The range of activity within which assumptions about variable and fixed cost behavior are valid.