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

1/5*8=1/3(1/5-1/8),同理可得：1/5*8+1/8*11+……＋1/98*101=1/3(1/5-1/8+1/8-1/11+1/11-1/14+……＋1/98-1/101)=1/3(1/5-1/101)=288/505