作业帮计算:1/2+1/3*4+1/5*6+1/7*8+1/9*10+.+1/2003*2004+1/2005*2006=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/13 06:25:50
计算:1/2+1/3*4+1/5*6+1/7*8+1/9*10+.+1/2003*2004+1/2005*2006=?
=1/2+4/3+6/5+---+2006/2005
=1/2+(2006/2-1)+1/3+1/5+---1/2005
=1002+2008(1/(3*2005)+1/(5*2003)+--+1/1003*1005))
=1002+2008(0.000166251+-------+0.000000992)
=1002+2008*(0.000166251+0.000000992)/2*(1002/2)
=1002+2008*0.004319121
=1086.123394
不知楼主这个题有没有漏项呢
1/2+1/2*3+1/3*4+1/4*5+1/5*6+......+1/2004*2005+1/2005*2006
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/2004-1/2005)+(1/2005-1/2006)
=1-1/2006
=2005/2006
1/2+1/3*4+1/...
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不知楼主这个题有没有漏项呢
1/2+1/2*3+1/3*4+1/4*5+1/5*6+......+1/2004*2005+1/2005*2006
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/2004-1/2005)+(1/2005-1/2006)
=1-1/2006
=2005/2006
1/2+1/3*4+1/5*6+1/7*8+1/9*10+....+1/2003*2004+1/2005*2006
=(1-1/2)+(1/3-1/4)+(1/5-1/6)+(1/7-1/8+......+(1/2003-1/2004)+(1/205-1/2006)
=(1+1/3+1/5+1/7+......+1/2003+1/2005)-(1/2+1/4+1/6+......+1/2004+1/2006)
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