Question

请各位帮我计算一下这道题，非常感谢1+1/3+1/6+1/10+1/15+1/21+1/36+1/45+1/55、它们的和是多少。

Answer 1

1+1/3+1/6+1/10+1/15+1/21+1/36+1/45+1/55
=2*（1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110-1/56）
=2*（1-1/2+1/2-1/3+1/3-1/4+……+1/10-1/11-1/56）
=2*(1-1/11-1/56)
=2*549/616
=549/308
你可能中间少了个1/28如果有，答案就是20/11

Answer 2

求分中……若满意还请采纳、

1+1/3+1/6+1/10+1/15+1/21+1/36+1/45+1/55
=9/6+1/10+1/15+1/21+1/36+1/45+1/55
=16/10+1/15+1/21+1/36+1/45+1/55
=25/15+1/21+1/36+1/45+1/55
=36/21+1/36+1/45+1/55
=12/7+1/36+1/45+1/55
=12/7+1/36+4/99
=12/7+27/396
=4941/2772
=549/308
我不会简便方法，若有疑问可以百度Hi、

Answer 3

2.96028141196805

Answer 4

20/11

Answer 5

1647/924