简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=
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![简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=](/uploads/image/z/13275-27-5.jpg?t=%E7%AE%80%E7%AE%971%2F%285%2A8%29%2B1%2F%288%2A11%29%2B1%2F%2811%2A14%29%2B.%2B1%2F%2895%2A98%29%2B1%2F%2898%2A101%29%3D)
简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=
简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=
简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=
1/5×8 +1/8×11 +1/11×14 +……+1/95×98 +1/98×101 =1/3×(1/5-1/101) =32/505