1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72=1/2+1/2-1/3++1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9=8/9这种方法叫列项相消.望采纳.