计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)
问题描述:
计算:(1²-2)/(1+2)+(2²—3²)/(2+3)+……+(99²—100²)/(99+100)
答
(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...