2007小数报竞赛答案有哪位网友能帮我解一下下面这道题:1/3×5+1/5×7+1/7×9+.+1/2001×2003=

2个回答

  • ◆1/3*5=1/2*(1/3-1/5)

    则原式=1/2*(1/3-1/5+1/5-1/7.+/2001+1/2003)

    =1/2*(1/3-1/2003)

    =1000/6009

    回答者:淋雨一起看星星 - 见习魔法师 二级 8-22 14:30

    ◆1/3*5+1/5*7+1/7*9+……+1/2001*2003

    =(1/2)((1/3)-(1/5)+(1/5)-(1/7)+(1/7)-(1/9)+……+(1/2001)-(1/2003))

    =(1/2)((1/3)-(1/2003))

    =(1/2)(2000/6009)

    = 1000/6009

    回答者:woshidasha1 - 见习魔法师 二级 8-22 14:30