1/1×3+1/3×5+1/5×7＋1/7×9+1/9×11+1/11×13的简便运算
问题描述：
1/1×3+1/3×5+1/5×7＋1/7×9+1/9×11+1/11×13的简便运算
答
=1/1*3+1/3*5+1/5*7+1/7*9+1/9*11+1/11*13
=1/2*[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)+(1/11-1/13)}
=1/2*[1-1/13]
=6/13