当x=2分之1,y=3分之1是,求代数式x-(x+y)+(x+2y)-(x+3y)+…-(x+101y)的值

问题描述:

当x=2分之1,y=3分之1是,求代数式x-(x+y)+(x+2y)-(x+3y)+…-(x+101y)的值

x-(x+y)+(x+2y)-(x+3y)+……-(x+101y)
=(x-x+x-x+……-x)+(-y+2y-3y+4y-……-101y)
=-x-51y
=-1/2-51*(1/3)
=-1/2-17
=-35/2