计算有理数的题!_1_+_1_+_1_+.+_____1_____ 1*3 3*5 5*7 2003*2005

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计算有理数的题!_1_+_1_+_1_+.+_____1_____1*33*55*72003*2005计算有理数的题!_1_+_1_+_1_+.+_____1_____1*33*55*72003*20

计算有理数的题!_1_+_1_+_1_+.+_____1_____ 1*3 3*5 5*7 2003*2005
计算有理数的题!
_1_+_1_+_1_+.+_____1_____
1*3 3*5 5*7 2003*2005

计算有理数的题!_1_+_1_+_1_+.+_____1_____ 1*3 3*5 5*7 2003*2005
=(1/2)(1-1/3)+(1/2)(1/3-1/5)+……+(1/2)(1/2003-1/2005)
=(1/2)(1-1/3+1/3-1/5+……+1/2003-1/2005)
=(1/2)(1-1/2005)
=1002/2005

1002/2005

=(1/2)(1-1/3)+(1/2)(1/3-1/5)+……+(1/2)(1/2003-1/2005)
=(1/2)(1-1/3+1/3-1/5+……+1/2003-1/2005)
=(1/2)(1-1/2005)
=1002/2005

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