5
QuizMultiple Choice

Modeling with Sequences and Series — Quiz

Question 5 • Precalculus

Alberto is stacking firewood. He puts 20 logs on the bottom row. Then he stacks each row so that there is 1 fewer log than the row below. Which of the following can be used to determine the total number of logs in 10 rows?

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

Explanation

The rows contain 20, 19, 18, and so on, decreasing by 1 log each time. Because the number of logs changes by a constant difference, these row counts form an arithmetic sequence, and their total is an arithmetic series. Therefore, the correct choice is an arithmetic series.

AI-written and checked against the verified answer.

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