计算1-2²+3²-4²+5²……+99²-100²

问题描述:

计算1-2²+3²-4²+5²……+99²-100²

1-2²+3²-4²+5²……+99²-100²
=(1-2²)+(3²-4²)+(5²-6²)……+(99²-100²)
=(1-2)(1+2)+(3-4)(3+4)+(5-6)*(5+6)+.+(99-100)*(99+100)
= -1*(1+2+3+4+5+6+.+99+100)
= -5050