10
QuizMultiple Choice

Modeling with Sequences and Series — Quiz

Question 10 • Precalculus

The average customer for a certain utility company pays 120 dollars per month for utilities. The company plans to decrease utility bills by 3 percent each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years?

Answer
A
an arithmetic series
B
a series that is neither arithmetic nor geometric
C
a series that is both arithmetic and geometric
D
a geometric series

Explanation

Each year, the bill is 97% of the previous year’s bill, so the yearly amounts are multiplied by the same ratio, 0.97. The total paid over five years is therefore a geometric series (whether using monthly bills or yearly totals). The correct choice is “a geometric series.”

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