观察下列等式:1/(1x2)=1-1/21/(2x3)=1/2-1/31/(3x4)=1/3-1/4将以上3个等式两边分别相加得:1/(1+2)+1/(2x3)+1/(3x4)=1-1/2+1/2-1/3+1/3-1/4=1-1/4=3/4(1)直接写出下列各式的计算结果:1/(1x2)+1/(2x3)+1/(3x4)+...+1/【n(
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![观察下列等式:1/(1x2)=1-1/21/(2x3)=1/2-1/31/(3x4)=1/3-1/4将以上3个等式两边分别相加得:1/(1+2)+1/(2x3)+1/(3x4)=1-1/2+1/2-1/3+1/3-1/4=1-1/4=3/4(1)直接写出下列各式的计算结果:1/(1x2)+1/(2x3)+1/(3x4)+...+1/【n(](/uploads/image/z/11943251-35-1.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E7%AD%89%E5%BC%8F%EF%BC%9A1%2F%281x2%29%3D1-1%2F21%2F%282x3%29%3D1%2F2-1%2F31%2F%283x4%29%3D1%2F3-1%2F4%E5%B0%86%E4%BB%A5%E4%B8%8A3%E4%B8%AA%E7%AD%89%E5%BC%8F%E4%B8%A4%E8%BE%B9%E5%88%86%E5%88%AB%E7%9B%B8%E5%8A%A0%E5%BE%97%EF%BC%9A1%2F%EF%BC%881%2B2%EF%BC%89%2B1%2F%EF%BC%882x3%29%2B1%2F%283x4%29%3D1-1%2F2%2B1%2F2-1%2F3%2B1%2F3-1%2F4%3D1-1%2F4%3D3%2F4%281%29%E7%9B%B4%E6%8E%A5%E5%86%99%E5%87%BA%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E7%9A%84%E8%AE%A1%E7%AE%97%E7%BB%93%E6%9E%9C%EF%BC%9A1%2F%EF%BC%881x2%29%2B1%2F%282x3%29%2B1%2F%283x4%29%2B...%2B1%2F%E3%80%90n%28)
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