麻烦知道人士帮忙解决一下,万分感谢!在自然数1~100中找出10个不同的数,使这10个数的倒数和等于1提示:1/(1*2)=1-1/2 1/(2*3)=1/2-1/3 1/(3*4)=1/3-1/41=(1-1/2)+(1/2-1/3)+(1/3-1/4)+1/4
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 09:49:30
![麻烦知道人士帮忙解决一下,万分感谢!在自然数1~100中找出10个不同的数,使这10个数的倒数和等于1提示:1/(1*2)=1-1/2 1/(2*3)=1/2-1/3 1/(3*4)=1/3-1/41=(1-1/2)+(1/2-1/3)+(1/3-1/4)+1/4](/uploads/image/z/144891-27-1.jpg?t=%E9%BA%BB%E7%83%A6%E7%9F%A5%E9%81%93%E4%BA%BA%E5%A3%AB%E5%B8%AE%E5%BF%99%E8%A7%A3%E5%86%B3%E4%B8%80%E4%B8%8B%2C%E4%B8%87%E5%88%86%E6%84%9F%E8%B0%A2%21%E5%9C%A8%E8%87%AA%E7%84%B6%E6%95%B01%7E100%E4%B8%AD%E6%89%BE%E5%87%BA10%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%9A%84%E6%95%B0%2C%E4%BD%BF%E8%BF%9910%E4%B8%AA%E6%95%B0%E7%9A%84%E5%80%92%E6%95%B0%E5%92%8C%E7%AD%89%E4%BA%8E1%E6%8F%90%E7%A4%BA%EF%BC%9A1%2F%281%2A2%29%3D1-1%2F2+++++++1%2F%282%2A3%29%3D1%2F2-1%2F3++++++++1%2F%283%2A4%29%3D1%2F3-1%2F41%3D%281-1%2F2%29%2B%281%2F2-1%2F3%29%2B%281%2F3-1%2F4%29%2B1%2F4)
麻烦知道人士帮忙解决一下,万分感谢!在自然数1~100中找出10个不同的数,使这10个数的倒数和等于1提示:1/(1*2)=1-1/2 1/(2*3)=1/2-1/3 1/(3*4)=1/3-1/41=(1-1/2)+(1/2-1/3)+(1/3-1/4)+1/4
麻烦知道人士帮忙解决一下,万分感谢!在自然数1~100中找出10个不同的数,使这10个数的倒数和等于1
提示:1/(1*2)=1-1/2 1/(2*3)=1/2-1/3 1/(3*4)=1/3-1/4
1=(1-1/2)+(1/2-1/3)+(1/3-1/4)+1/4
麻烦知道人士帮忙解决一下,万分感谢!在自然数1~100中找出10个不同的数,使这10个数的倒数和等于1提示:1/(1*2)=1-1/2 1/(2*3)=1/2-1/3 1/(3*4)=1/3-1/41=(1-1/2)+(1/2-1/3)+(1/3-1/4)+1/4
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/10
=1/(1×2)+1/(2×3)+1/(3×4)+1/(4×5)+1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)+1/(9×10)+1/10
=(1 - 1/2)+(1/2 - 1/3)+(1/3 - 1/4)+……+(1/9 - 1/10)+1/10
=1 - 1/10 +1/10
=1
11111111111111111111
2,6,12,20,30,42,56,72,90,10》这十个数
2,6,10,12,20,30,42,56,72,90
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/10
=1/2+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)+1/10
=1/2+1/2(-1/3+1/3)+(-1/4+1/4)+(-1/5+1/5)+(-1/6+1/6)+(-1/7+1/7)+(-1/8+1/8)+(-1/9+1/9)+(-1/10+1/10)
=1/2+1/2=1
2 6 10 12 20 30 42 56 72 90