计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)

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计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)
计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)

计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)
(1²-2²)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)
= (1+2)(1-2)/(1+2)+(2+3)(2-3)/(2+3)+...+(99+1000)(99-100)/(99+100)
=1-2+2-3+...+99-100
=1-100=-99