(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=

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(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=(1-2)*(2

(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=
(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=

(1-2)*(2-3)*(3-4)*...*(2004-2005)*(2005-2006)=
1