a. The rule for the salary $a_n$ during the $n$th year of employment can be written as a geometric sequence where the first term $a_1$ is $65,000 and the common ratio $r$ is 1.035 (which represents the 3.5% increase each year). So, the rule is:

$a_n = a_1 * r^{(n-1)}$

$a_n = 65000 * (1.035)^{n-1}$

b. To find the salary during the fifth year of employment, substitute $n = 5$ into the rule:

$a_5 = 65000 * (1.035)^{5-1}$

Calculate the expression to find the salary. Round your answer to the nearest dollar.

Question

a. The rule for the salary $a_n$ during the $n$th year of employment can be written as a geometric sequence where the first term $a_1$ is $65,000 and the common ratio $r$ is 1.035 (which represents the 3.5% increase each year). So, the rule is:

$a_n = a_1 * r^{(n-1)}$

$a_n = 65000 * (1.035)^{n-1}$

b. To find the salary during the fifth year of employment, substitute $n = 5$ into the rule:

$a_5 = 65000 * (1.035)^{5-1}$

Calculate the expression to find the salary. Round your answer to the nearest dollar.

Knowee AI · Accepted Answer

a. The rule for the salary $a_n$ during the $n$th year of employment can be written as a geometric sequence where the first term $a_1$ is $65,000 and the common ratio $r$ is 1.035 (which represents the 3.5% increase each year). So, the rule is:

$a_n = a_1 * r^{(n-1)}$

$a_n = 65000 * (1.035)^{n-1}$

b. To find the salary during the fifth year of employment, substitute $n = 5$ into the rule:

$a_5 = 65000 * (1.035)^{5-1}$

Calculate the expression to find the salary. Round your answer to the nearest dollar.

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