AMC10 2008 A

AMC10 2008 A · Q5

AMC10 2008 A · Q5. It mainly tests Rational expressions.

Which of the following is equal to the product $\frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n+4}{4n} \cdots \frac{2008}{2004}$?

下列表达式等于$\frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n+4}{4n} \cdots \frac{2008}{2004}$的值是？

(A) 251 251

(B) 502 502

(D) 2008 2008

(E) 4016 4016

Answer

Correct choice: (B)

正确答案：（B）

Solution

Because each denominator except the first can be canceled with the previous numerator, the product is $\frac{2008}{4} = 502$.

由于除第一个分母外的每个分母都能与前一个分子抵消，该乘积为$\frac{2008}{4} = 502$。

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