(2-1÷2)(2-2÷3)(2-3÷4)...(2-2004÷2005)

问题描述:

(2-1÷2)(2-2÷3)(2-3÷4)...(2-2004÷2005)
(2-1÷2)×(2-2÷3)×(2-3÷4)×······×(2-2004÷2005)

(1+1-1÷2)(1+1-2÷3)...(1+1-2004÷2005)=
(1+1/2)(1+1/3)...(1+1/2005)=
(3/2)(4/3)...(2006/2005)=2006/2=1003