1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002)简算拜托各位大神
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![1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002)简算拜托各位大神](/uploads/image/z/1764993-57-3.jpg?t=1%2F2%2B%281%2F3%2B2%2F3%29%2B%281%2F4%2B2%2F4%2B3%2F4%29%2B...%2B%281%2F2002%2B2%2F2002%2B3%2F2002%2B...%2B2001%2F2002%29%E7%AE%80%E7%AE%97%E6%8B%9C%E6%89%98%E5%90%84%E4%BD%8D%E5%A4%A7%E7%A5%9E)
1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002)简算拜托各位大神
1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002)简算拜托各位大神
1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002)简算拜托各位大神
1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+2001/2002) =[1/2+)+(1/2002+2/2002+3/2002+...+2001/2002)]+...+[(1/1001+2/1001+...+1000/1001)+(1/1003+2/1003+...+1002/1003)]+(1/1002+2/1002+...+1001/1002) =1001+1001+...+1001+500.5 =1001×(2002/2-1)+500.5 =1001500.5
=1/2+2/2+3/2+4/2+5/2+……+2001/2 =(1+2+3+……+2001)/2 =(1+2001)*(2001/2)/2 =1001500.5