◆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