1/3+1/15+1/35+······+1/9999和是多少?

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1/3+1/15+1/35+······+1/9999和是多少?
1/3+1/15+1/35+······+1/9999和是多少?

1/3+1/15+1/35+······+1/9999和是多少?
1/3+1/15+1/35+······+1/9999
=1/3+1/2{(1/3-1/5)+(1/5-1/7)+...(1/99-1/101)}
=1/3+1/2(1/3-1/101)
=1/3+49/303
=52/303

1/3+1/15+1/35+······+1/9999和

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