Problem:
What is the product of 23βΓ34βΓ45ββ¦Γ20052006β?
Answer Choices:
A. 1
B. 1002
C. 1003
D. 2005
E. 2006
Solution:
Note that in each fraction, the numerator is the same as the denominator in the next fraction, so they divide. The product of 2ξ 3βΓξ 3ξ 4βΓ4ξ 5βΓβ¦Γ20052006β=22006β=1003.