设原式的和为S,再把原式乘以1/2得：
1/2S=1/2*（1/3+1/6+1/10+1/15+……+1/78+1/91）
1/2S=1/6+1/12+1/20+1/30+1/42+……+1/156+1/182
1/2S=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+……+1/12-1/13+1/13-1/14
1/2S=1/2-1/14
1/2S=6/14
两边乘以2得：S=6/7
望你进步!qq:1209538287