1/20+1/30+1/42+1/56+1/72+1/90=1/(4×5)+1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)+1/(9×10)=(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)=(1/4)-(1/10)=3/20
裂项相加应该等于四分之一减去十分之一结果等于二十分之三