原式=1/3*(1/1*2*3-1/2*3*4+1/2*3*4-1/3*4*5+1/3*4*5-1/4*5*6+1/5*6*7-……+1/17*18*19-1/18*19*20)
=1/3*(1/1*2*3-1/18*19*20)
=1/3*1139/18*19*20
=1139/29754
原式=1/3*(1/1*2*3-1/2*3*4+1/2*3*4-1/3*4*5+1/3*4*5-1/4*5*6+1/5*6*7-……+1/17*18*19-1/18*19*20)
=1/3*(1/1*2*3-1/18*19*20)
=1/3*1139/18*19*20
=1139/29754