AMC 8 1996 Problem 20
AMC8 1996 年第 20 题
数列与规律★★★☆☆
Problem Suppose there is a special key on a calculator that replaces the number currently displayed with the number given by the formula 1/(1-x). For example, if the calculator is displaying 2 and the special key is pressed, then the calculator will display -1 since 1/(1-2)=-1. Now suppose that the calculator is displaying 5. After the special key is pressed 100 times in a row, the calculator will display
假设计算器上有一个特殊键，将当前显示的数 替换为公式 1/(1-x) 给出的数。例如，如果计算器显示 2 并按下特殊键，计算器将显示 -1，因为 1/(1-2)=-1。现在假设计算器显示 5。连续按下特殊键 100 次后，计算器将显示
- A.-0.25
- B.0
- C.0.8
- D.1.25
- E.5
正确答案 · Correct Answer
A
解析 · Solution
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