1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 19:32:58
![1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101](/uploads/image/z/240974-62-4.jpg?t=1%C3%971%2F3%2B1%2F3%C3%971%2F5%2B1%2F5%C3%971%2F7%2B%E2%80%A6%E2%80%A6%2B1%2F99%C3%971%2F101)
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
=(1/2)[1-(1/3)+(1/3)-(1/5)+(1/5)-(1/7)+……+(1/99)-(1/101)]
=(1/2)[1-(1/101)]
=50/101