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Product of Fractions

Source: AMC 12 2008A Problem 4

February 17, 2008
AMC

Problem Statement

Which of the following is equal to the product \frac {8}{4}\cdot\frac {12}{8}\cdot\frac {16}{12}\cdots\frac {4n \plus{} 4}{4n}\cdots\frac {2008}{2004}? <spanclass=latexbold>(A)</span> 251<spanclass=latexbold>(B)</span> 502<spanclass=latexbold>(C)</span> 1004<spanclass=latexbold>(D)</span> 2008<spanclass=latexbold>(E)</span> 4016 <span class='latex-bold'>(A)</span>\ 251 \qquad <span class='latex-bold'>(B)</span>\ 502 \qquad <span class='latex-bold'>(C)</span>\ 1004 \qquad <span class='latex-bold'>(D)</span>\ 2008 \qquad <span class='latex-bold'>(E)</span>\ 4016