先观察下列格式.1/1X4=1/3(1-1/4) 1/4X7=1/3(1/4-1/7) 1/7x10=1/3(1/7-1/10) 1/N(N+3)=1/3(1/N-1/N+3)根据规律,计算1/1*4+1/4*7+1/7*10+……+1/2008*2011的值.谢谢
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![先观察下列格式.1/1X4=1/3(1-1/4) 1/4X7=1/3(1/4-1/7) 1/7x10=1/3(1/7-1/10) 1/N(N+3)=1/3(1/N-1/N+3)根据规律,计算1/1*4+1/4*7+1/7*10+……+1/2008*2011的值.谢谢](/uploads/image/z/9320377-49-7.jpg?t=%E5%85%88%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E6%A0%BC%E5%BC%8F.1%2F1X4%3D1%2F3%281-1%2F4%29+1%2F4X7%3D1%2F3%281%2F4-1%2F7%29+1%2F7x10%3D1%2F3%281%2F7-1%2F10%29+1%2FN%28N%2B3%29%3D1%2F3%281%2FN-1%2FN%2B3%29%E6%A0%B9%E6%8D%AE%E8%A7%84%E5%BE%8B%2C%E8%AE%A1%E7%AE%971%2F1%2A4%2B1%2F4%2A7%2B1%2F7%2A10%2B%E2%80%A6%E2%80%A6%2B1%2F2008%2A2011%E7%9A%84%E5%80%BC.%E8%B0%A2%E8%B0%A2)
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