裂项求和咯
把每一项拆开.1/(N*(N+2))=1/2*(1/N+1/(N+2))
原式=(1/2)X((1-1/3)+(1/2-1/4)+(1/3-1/5)+.+(1/10-1/12))
消去后=(1/2)X(1+1/2-1/11-1/12)=115/132