1x3+2x4+3x5+4x6..+99x101=?
8个回答

=(2-1)(2+1)+(3-1)(3+1)+.+(100-1)(100+1)

=2^2-1+3^2-1+...+100^2-1

=(1+2^2+3^2+...+100^2)-100

=[100*(100+1)(200+1)]/6-100

=338350-100

=338250