2004 AMC 10B Problem 3

Below is the professionally curated solution for Problem 3 of the 2004 AMC 10B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 10B solutions, or check the answer key.

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Concepts:geometric sequence work backwards

Difficulty rating: 820

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 $48$ free throws. How many free throws did she make at the first practice?

$3$

$6$

$9$

$12$

$15$

Solution:

Working backward from the fifth practice, the counts are $48, 24, 12, 6,$ and $3$ at the fourth, third, second, and first practices.

Thus, the correct answer is A.

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