1/6+1/66+1/176+....+1/496.501
=1/1.6+1/6.11+1/11.16+....+1/496.501
=(1/5).(5/1.6+5/6.11+5/11.16+....+5/496.501)
=(1/5).(1-1/6+1/6-1/11+1/11-1/16+...+1/496-1/501)
=(1/5).(1-1/501)
=1/5 . 500/501
=100/501
Ta có: 1/6+1/66+1/176+1/336+...+1/496.501
=1/1.6+1/6.11+1/11.16+1/16.21+...+1/496.501
=1/5.(5/1.6+5/6.11+5/11.16+5/16.21+...+5/496.501)
=1/5.(1-1/6+1/6-1/11+1/11-1/16+1/16-1/21+...+1/496-1/501)
=1/5.(1-1/501)
=1/5.500/501
=100/501