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| − | ==Problem==
| + | #redirect [[2008 AMC 12A Problems/Problem 4]] |
| − | Which of the following is equal to the product
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| − | <cmath>\frac{8}{4}\cdot\frac{12}{8}\cdot\frac{16}{12}\cdot\cdots\cdot\frac{4n+4}{4n}\cdot\cdots\cdot\frac{2008}{2004}?</cmath>
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| − | <math>\mathrm{(A)}\ 251\qquad\mathrm{(B)}\ 502\qquad\mathrm{(C)}\ 1004\qquad\mathrm{(D)}\ 2008\qquad\mathrm{(E)}\ 4016</math>
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| − | ==Solution==
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| − | Notice that everything cancels out except for <math>2008</math> in the numerator and <math>4</math> in the denominator.
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| − | Thus, the product is <math>\frac{2008}{4}=502</math>, and the answer is <math>\mathrm{(B)}</math>.
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| − | ==See also==
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| − | {{AMC10 box|year=2008|ab=A|num-b=4|num-a=6}}
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