1/2+5/6+11/22+.+109/110

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/01 09:21:44
1/2+5/6+11/22+.+109/110
x}O 0 ]#(Jl)Y`T \z!qC("Ez@`U E\Xe"5 4q<\f3B=""c":{2,cXu}/vZB&lk~j+ iha9~9㘱d,?{k-~zgJ

1/2+5/6+11/22+.+109/110
1/2+5/6+11/22+.+109/110

1/2+5/6+11/22+.+109/110
第三项11/12?
=10-(1/2+1/6+1/12...+1/110)
=10-(1-1/2+1/2-1/3+1/3.+1/10-1/11)
=10-(1-1/11)
=9+1/11
=9又1/11

1/2+5/6+11/12+19/20+……+89/90+109/110
=1-1/2+1-1/6+1-1/12...+1-1/110
=10-(1/2+1/6+1/12...+1/110)
=10-(1/2+1/2-1/3+1/3-1/4+1/5-1/5...+1/10-1/11)
=10-10/11
=100/11