2004 AMC 10B 第 3 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

上周每次篮球训练中,Jenny 罚中球数都是前一次训练的两倍。她第五次训练罚中 4848 个球。她第一次训练罚中了多少个球?

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?

33

66

99

1212

1515

答案:A
知识点:等比数列逆推法
难度评级:820
解答:

从第五次训练倒推,罚中数依次为 48,24,12,648, 24, 12, 633,对应第五、第四、第三、第二、第一次训练。

所以正确答案是 A

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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