1*2/1+2*3/1+...+98*99/1+99*100/1的简便算法

问题描述:

1*2/1+2*3/1+...+98*99/1+99*100/1的简便算法

1*2/1+2*3/1+...+98*99/1+99*100/1
=1-2/1+2/1-3/1+……+98/1-99/1+99/1-100/1
=1-100/1
=100/99