已知1^2+2^2+3^2+4^2+…+n^2=1/6n(n+1)(2n+1)

26^2+27^2+28^2+29^2…+50^2
=1^2+2^2+3^2+4^2+…+50^2-(1^2+2^2+3^2+4^2+…+25^2)
=1/6*50*51*101-1/6*25*26*51
=1/6(257550-33150)
=37400
ljt86836祝你学习进步!