1/(1*4)+1/(4*7)+1/(7*10)+.....+1/(97*100)=1/3( 1/1 - 1/4) + 1/3( 1/4 - 1/7) + 1/3( 1/7 - 1/10) + .....+ 1/3( 1/97 - 1/100) =1/3(1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + .....+ 1/97 - 1/100) =1/3(1- 1/100) =33/100
0.33