计算1-2²+3²-4²+5²-6²+……+99²-100²
问题描述:
计算1-2²+3²-4²+5²-6²+……+99²-100²
答
1²-2²+3²-4²+5²-6²+……+99²-100²=(1²-2²)+(3²-4²+(5²-6²)+……+(99²-100²)=(1-2)(1+2)+(3-4)(3+4)+(5-6)(5+6)+……+(99-100)(99...