应该是:“1x2+2x3+3x4+·······+100x101”吧?
Dim i As Long, Isum As Long
Isum = 0
For i = 1 To 100
Isum = Isum + i * (i + 1)
Next i
Debug.Print Isum
运行结果:Isum= 343400
利用两个公式
1+2+3+....+n=n(n+1)/2
1²+2²+3²+......+n²=n(n+1)(2n+1)/6
1x2+2x3+3x4+...+100x101
=1x1+2x2+3x3+...+100x100+(1+2+3+.....+100)
=100x101x201/6+(1+100)*100/2
=343400
101X101?