1/3+1/6+1/10+1/5+.+1/5050
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/30 03:34:01
![1/3+1/6+1/10+1/5+.+1/5050](/uploads/image/z/1264704-24-4.jpg?t=1%2F3%2B1%2F6%2B1%2F10%2B1%2F5%2B.%2B1%2F5050)
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02> dѴiT23B0"JW,9WQIh~=i=%h0Hefv
*0.
1/3+1/6+1/10+1/5+.+1/5050
1/3+1/6+1/10+1/5+.+1/5050
1/3+1/6+1/10+1/5+.+1/5050
=2(1/6+1/12+1/20+...+1/10100)
=2(1/2-1/3+1/3-1/4+1/4-1/5+...+1/100-1/101)
=2(1/2-1/101)
=1-2/101
=99/101