用裂项法解:1/3+1/15+1/35+1/63+1/99
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![用裂项法解:1/3+1/15+1/35+1/63+1/99](/uploads/image/z/303340-4-0.jpg?t=%E7%94%A8%E8%A3%82%E9%A1%B9%E6%B3%95%E8%A7%A3%EF%BC%9A1%2F3%2B1%2F15%2B1%2F35%2B1%2F63%2B1%2F99)
用裂项法解:1/3+1/15+1/35+1/63+1/99
用裂项法解:1/3+1/15+1/35+1/63+1/99
用裂项法解:1/3+1/15+1/35+1/63+1/99
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+1/2(7/1-1/9)+1/2(1/9-1/11)
=1/2(1-1/11)
=5/11
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1/3+1/15+1/35+1/63+1/99
=1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)+1/(9*11)
=1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
=1-1/11
=10/11