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A college student makes a deal with her parents to live at home instead of living on
campus. She will pay her parents $0.10 for the first day of the month, $0.20 for the
second day, $0.40 for the third day, and so on. How much will she pay her parents for
the seventh day?
What is the value of a1?
What is the value of r?
What is the value of n?
How much will she pay
her parents for the seventh day?

Answer :

raphealnwobi

The college student would pay $6.4 to her parents on the seventh day.

Geometric sequence

Geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. It is given by:

[tex]a_n=a_1r^{n-1[/tex]

where a1 is the first term and r is the common ratio.

From the question:

  • First term = a1 = $0.1
  • Common ratio = r = 0.2/0.1 = 0.4/0.2 = 2

The seventh term is:

[tex]a_7=0.1(2)^{7-1}=6.4[/tex]

The college student would pay $6.4 to her parents on the seventh day.

Find out more on geometric sequence at: https://brainly.com/question/1509142

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