A sales person working for a heating and air-conditioning company earns an annual base salary of $30,000 plus $500 on every new system he sells. Suppose that {an} is a sequence representing the sales person’s total yearly income based on the number of units sold n.a. Write a formula for the nth term of a sequence that represents the sales person’s total income for n units sold. In this case, define {an} with domain n ≥ 0 to allow for the possibility of 0 units sold.b.How much will the sales person earn in a year for selling 42 new units?

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Asked Dec 19, 2019
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A sales person working for a heating and air-conditioning company earns an annual base salary of $30,000 plus $500 on every new system he sells. Suppose that {an} is a sequence representing the sales person’s total yearly income based on the number of units sold n.

a. Write a formula for the nth term of a sequence that represents the sales person’s total income for n units sold. In this case, define {an} with domain n ≥ 0 to allow for the possibility of 0 units sold.

b.How much will the sales person earn in a year for selling 42 new units?

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It is given that the person earns annual base salary of $30,000 plus $500 on every new system that the person sells. And, an is the sequence representing the person's total yearly income based on the number of units sold (n).

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Step 2
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To find: The formula for nu term of the sequence that represents the person's total income for n a. units sold. b. The earning of the person if he sells 42 units.

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Since, annual salary of the person is $30,000 and he earns $500 on every new system. Therefore, the sequence for the nth term an is written as: a. where, n is the a̟ = 30000 +500n... .(1) number of units sold

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Math

Algebra

Sequence and Series