(-1*1/2)+(-2*1/3)+(-3/1*1/4)+...+(-1/2009*2010)+(-1/2010*1/2011)等于?

问题描述:

(-1*1/2)+(-2*1/3)+(-3/1*1/4)+...+(-1/2009*2010)+(-1/2010*1/2011)等于?
恳求回答

(-1*1/2)+(-2*1/3)+(-3/1*1/4)+...+(-1/2009*2010)+(-1/2010*1/2011)
= -1×(1-1/2+1/2-1/3+……+1/2010-1/2011)
= -1×2010/2011
= -2010/2011我喜欢你了(⊙o⊙)…