用规律计算(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 03:52:16
![用规律计算(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)](/uploads/image/z/358575-15-5.jpg?t=%E7%94%A8%E8%A7%84%E5%BE%8B%E8%AE%A1%E7%AE%97%EF%BC%88-1%C3%971%2F2%2B%EF%BC%88-1%2F2%C3%971%2F3%EF%BC%89%2B%EF%BC%88-1%2F3%C3%971%2F4%EF%BC%89%2B%E2%80%A6%2B%EF%BC%88-1%2F99%C3%971%2F100%EF%BC%89)
用规律计算(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)
用规律计算(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)
用规律计算(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)
(-1×1/2+(-1/2×1/3)+(-1/3×1/4)+…+(-1/99×1/100)
=-1+1/2-1/2+1/3-1/3+1/4-……-1/99+1/100
=-1+1/100
=-99/100
=-0.99