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+……+1/55）
=1/6+1/12+1/20+1/30+1/42+……+1/110
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+……+1/10-1/11
=1/2-1/11
=9/22
两边乘以2得：S=18/22
1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/50+1/55=?
1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/50+1/55=?
用裂项法做
用裂项法做
数学人气：820 ℃时间：2019-09-22 03:01:34
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