3
QuizMultiple Choice

Geometric Sequences — Quiz

Question 3 • Algebra: Concepts and Connections

A conservationist determines that a particular beach is eroding at a rate of 1 point 1 percent each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

Answer
A
0 point 0 8 9
B
1 point 0 1 1
C
0 point 0 1 1
D
0 point 9 8 9

Explanation

If the beach erodes by 1.1% each year, then 100% − 1.1% = 98.9% remains each year. As a decimal, 98.9% is 0.989, so the common ratio is 0.989 (choice A).

AI-written and checked against the verified answer.

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