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Lerok [7]
3 years ago
10

A library charges $0.10 a day in late fees for each book Sydney returned 4 books that were 17days late and 3 books that were 23

days late. How much did Sydney owe in late fees ?
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer: $13.70



Step-by-step explanation:

.10* 17= 1.7, because $.10 is charged for everyday the book is late and the books were 17 days late.

1.7* 4= 6.8, because there were four books that were 17 days late.


.10* 23= 2.3, because $.10 is charged for everyday the book is late and the books were 23 days late.

2.3* 3= 6.9, because there were three books that were 23 days late.


6.8+6.9= 13.70 is the amount of money Sydney had to pay the library for her late books.

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The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
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#LearnwithBrainly

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