1/2+1/6+1/12+…………+1/90+1/100+1/132
问题描述:
1/2+1/6+1/12+…………+1/90+1/100+1/132
那是二分之一
答
1/2=1-1/21/6=1/2-1/31/12=1/3-1/4…………1/90=1/9-1/101/100 1/110=1/10-1/111/132=1/11-1/121/2+1/6+1/12+…………+1/90+1/100+1/132 =1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10+1/10-1/11+1/11-1/12=11/12