Question

1/1*6+1/6*11+1/11*16+...+1/106*111的计算过程

Answer 1

1/1*6+1/6*11+1/11*16+...+1/106*111

=(1/1-1/6)/5+(1/6-1/11)/5+……+(1/106-1/111)/5

=(1-1/6+1/6-1/11+1/11-……+1/106-1/111)/5

=(1-1/111)/5

=22/111