1.计算【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】注:【 】为绝对值符号2.1/1X2=1-1/2,1/2X3=1/2X1/3,1/3X4=1/3-1/4.计算:1/1X2+1/2X3+1/3X4+.+1/2008X2009注:1/1X2=一乘二分之一,1/2X3=二乘三分之一.(请各位亲
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![1.计算【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】注:【 】为绝对值符号2.1/1X2=1-1/2,1/2X3=1/2X1/3,1/3X4=1/3-1/4.计算:1/1X2+1/2X3+1/3X4+.+1/2008X2009注:1/1X2=一乘二分之一,1/2X3=二乘三分之一.(请各位亲](/uploads/image/z/70557-69-7.jpg?t=1.%E8%AE%A1%E7%AE%97%E3%80%901%2F3-1%2F2%E3%80%91%2B%E3%80%901%2F4-1%2F3%E3%80%91%2B%E3%80%901%2F5-1%2F4%E3%80%91%2B.%2B%E3%80%901%2F10-1%2F9%E3%80%91%E6%B3%A8%EF%BC%9A%E3%80%90+%E3%80%91%E4%B8%BA%E7%BB%9D%E5%AF%B9%E5%80%BC%E7%AC%A6%E5%8F%B72.1%2F1X2%3D1-1%2F2%2C1%2F2X3%3D1%2F2X1%2F3%2C1%2F3X4%3D1%2F3-1%2F4.%E8%AE%A1%E7%AE%97%EF%BC%9A1%2F1X2%2B1%2F2X3%2B1%2F3X4%2B.%2B1%2F2008X2009%E6%B3%A8%EF%BC%9A1%2F1X2%3D%E4%B8%80%E4%B9%98%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80%2C1%2F2X3%3D%E4%BA%8C%E4%B9%98%E4%B8%89%E5%88%86%E4%B9%8B%E4%B8%80.%EF%BC%88%E8%AF%B7%E5%90%84%E4%BD%8D%E4%BA%B2)
1.计算【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】注:【 】为绝对值符号2.1/1X2=1-1/2,1/2X3=1/2X1/3,1/3X4=1/3-1/4.计算:1/1X2+1/2X3+1/3X4+.+1/2008X2009注:1/1X2=一乘二分之一,1/2X3=二乘三分之一.(请各位亲
1.计算【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】
注:【 】为绝对值符号
2.1/1X2=1-1/2,1/2X3=1/2X1/3,1/3X4=1/3-1/4.
计算:1/1X2+1/2X3+1/3X4+.+1/2008X2009
注:1/1X2=一乘二分之一,1/2X3=二乘三分之一.
(请各位亲先讲清什么规律再解答,如果您用了什么符号,请注明那个符号表示什么)
麻烦亲用文字把规律表达的清楚一点
不然我看不懂啊
1.计算【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】注:【 】为绝对值符号2.1/1X2=1-1/2,1/2X3=1/2X1/3,1/3X4=1/3-1/4.计算:1/1X2+1/2X3+1/3X4+.+1/2008X2009注:1/1X2=一乘二分之一,1/2X3=二乘三分之一.(请各位亲
1.【1/3-1/2】+【1/4-1/3】+【1/5-1/4】+.+【1/10-1/9】
=1/2-1/3+1/3-1/4+.+1/9-1/10
=1/2-1/10
=0.4
2.1/1X2+1/2X3+1/3X4+.+1/2008X2009
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009
=1-1/2009
=2008/2009
1、规律:【1/(n+1)-1/n】=1/n - 1/(n+1) 【 】为绝对值符号
原式=1/2-1/3+1/3-1/4+1/4-1/5+......+1/9-1/10
=1/2-1/10
=2/5
2、规律:1/n*(n+1)=1/n-1/(n+1) 注:*为乘号
原式=1-1/...
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1、规律:【1/(n+1)-1/n】=1/n - 1/(n+1) 【 】为绝对值符号
原式=1/2-1/3+1/3-1/4+1/4-1/5+......+1/9-1/10
=1/2-1/10
=2/5
2、规律:1/n*(n+1)=1/n-1/(n+1) 注:*为乘号
原式=1-1/2+1/2-1/3+1/3-1/4+......+1/2008-1/2009
=1-1/2009
=2008/2009
收起
最简单的方法,问!
1-2009分之一
=2009分之2008