简算1/(58)+1/(811)+1/(1114)+.+1/(9598)+1/(98*101)=

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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