(1+3+5+······2013)—(2+4+6······+2014)

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  • (1+3+5+······2013)—(2+4+6······+2014)

    =1+3+5+······+2013-2-4-6-······-2014

    =(1-2)+(3-4)+(5-6)+……+(2013-2014)    [共有1007组]

    =(-1)+(-1)+(-1)+……+(-1)            [共有1007个(-1)相加]

    =(-1)×1007

    =-1007