裂项法:1/6+1/18+1/36+1/60+1/90=1/3×(1/2+1/6+1/12+1/20+1/30)=1/3×(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6)=1/3×(1-1/6)=1/3×5/6=5/18