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A company is tracking the number of hours of overtime paid each week. In the first 4 weeks, they find the following numbers of overtime hours: 20, 30, 45, and 67.5. Which is a possible explicit rule for overtime hours in the nth week?

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MrRoyal

The number of hours of overtime paid each week is an illustration of a geometric progression

The explicit rule is [tex]T_n = 20 * 1.5^{n-1}[/tex]

How to determine the explicit rule

The hours are given as:

20, 30, 45, and 67.5

The above function is a geometric function, and it is represented as:

[tex]T_n = ar^{n -1}[/tex]

Where:

[tex]a = 20[/tex] --- the first term

And we have:

[tex]r = \frac{30}{20}[/tex]

[tex]r =1.5[/tex]

So, we have:

[tex]T_n = 20 * 1.5^{n-1}[/tex]

Hence, the explicit rule is [tex]T_n = 20 * 1.5^{n-1}[/tex]

Read more about geometric progression at:

https://brainly.com/question/12006112

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