6分之1+12分之1+20分之1+30分之1+……+3998000分之1
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+.+(1/1998-1/1999)+(1/1999-1/2000)
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+.+1/1998-1/1999+1/1999-1/2000
=1/2-1/2000
=1000/2000-1/2000
=999/2000
2x5分之1+5x8分之1+8x11分之1+11x14分之1
=(1/2-1/5)+(1/5-1/8)+(1/8-1/11)+(1/11-1/14)
=1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14
=1/2-1/14
=7/14-1/14
=6/14
=3/7