(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?

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(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?(1-2)*(2-3)*···*(2

(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?
(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?

(1-2)*(2-3)*···*(2009-2010)*(2010-2011)=?
(1-2)*(2-3)*···*(2009-2010)*(2010-2011)
=(-1)^(2011-1)
=(-1)^2010
=1

1

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