1x1一2x2十3x3一4x4十5x5…十99x99一100x100

问题描述:

1x1一2x2十3x3一4x4十5x5…十99x99一100x100

1x1一2x2十3x3一4x4十5x5…十99x99一100x100
=(1+2)(1-2)+)3+4)(3-4)+……+(99+100)(99-100)
=-(1+2+3+4+……+99+100)
=-(1+100)x100÷2
=-5050