简算1/(5*8)+1/(8*11)+1/(11*14)+.+1/(95*98)+1/(98*101)=

问题描述:

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