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2004 AMC 10B Problem 3

Problem 3 of 25EasierAlgebraProblem-Solving Techniques

At each basketball practice last week, Jenny made twice as many free throws as she made at the previous practice. At her fifth practice she made 4848 free throws. How many free throws did she make at the first practice?

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Solution

Working backward from the fifth practice, the counts are 48,24,12,6,48, 24, 12, 6, and 33 at the fourth, third, second, and first practices. Thus, the correct answer is A.
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Tagged: geometric sequence · work backwards

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