Answers2025-2026 FBISD - Precalculus B CRModeling with Sequences and SeriesQuestion 9
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QuizMultiple Choice

Modeling with Sequences and Series

Question 9 • 2025-2026 FBISD - Precalculus B (CR)

Mr. Bryant wants to distribute a copy of a chart to his students. He reduces the area of the chart a number of times on a photocopier, as shown in the table below.Reductions of Chart and Percent of Original AreaNumber of Reductions1234Percent of Original Area50%25%12.5%6.25%If the fifth reduction follows the pattern in the table, which of the following represents the area of the image?

Answer
A
a term in an arithmetic sequence
B
the partial sum of an arithmetic series
C
a term in a geometric sequence
D
the partial sum of a geometric series

Explanation

Each reduction cuts the area in half: 50%, 25%, 12.5%, and 6.25%. The fifth reduction will be 3.125% of the original area, so the percentages form a geometric sequence with common ratio 1/2. The image’s area is one term of that sequence, not a sum of terms; therefore, the answer is C, a term in a geometric sequence.

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