(2+4+6+8+10.......+100)-(1+3+5+7+9......+99)
=(2-1)+(4-3)+...+(100-99)
=1+1+..+1(共计50个)
=50
(2+4+6+8+10.......+100)-(1+3+5+7+9......+99)
= (2+100)50/2 - (1+99)50/2
=25(102-100)
=50
后面的括号打开 2+4+……+100-1-3……-99=2-1+4-3+6-5……+100-99=50
先去括号再移项变成(2-1)+(4-3)+……+(100-99)=50