计算1/5×8+1/8×11+1/11×14+1/14×17+1/17×20,它的结果是多少,

问题描述:

计算1/5×8+1/8×11+1/11×14+1/14×17+1/17×20,它的结果是多少,

1/5×8+1/8×11+1/11×14+1/14×17+1/17×20
=1/3(1/5-1/8+1/8-1/11+...+1/17-1/20)
=1/3(1/5-1/20)
=1/3*3/20
=1/20
1/3是(8-5),(11-8),等的倒数.1/3×(1/5-1/8)=1/5×8