急,求你们了1+(-2)+3+(-4)·····+2011+(-2012)(+1)+(-2)+(+3)+(-4)+···

3个回答

  • 从第一个开始每2个数一组 和为-1 ,

    1+(-2)+3+(-4)·····+2011+(-2012)

    =(1-2)+(3-4)+·····+(2011-2012)

    = - 1×(2012÷2)

    = - 1006

    (+1)+(-2)+(+3)+(-4)+······+(+99)+(-100)

    =(1-2)+(3-4)+·····+(99-100)

    = - 1×(100÷2)

    = - 50

    绝对值直接去掉

    =(1-1/2)+(1/2 -1/3)+(1/3-1/4)·····+(1/9-1/10)

    =1-1/2+1/2 -1/3+1/3-1/4·····+1/9-1/10

    =1-1/10

    =9/10