Problem:
Which of the following is equal to the product
48​⋅812​⋅1216​⋯4n4n+4​⋯20042008​?
Answer Choices:
A. 251
B. 502
C. 1004
D. 2008
E. 4016
Solution:
Because each denominator except the first can be canceled with the previous numerator, the product is 42008​=(B)502​.
The problems on this page are the property of the MAA's American Mathematics Competitions