1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)第一行是分子,第二行是分母
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 04:18:12
![1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)第一行是分子,第二行是分母](/uploads/image/z/182172-12-2.jpg?t=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B%E2%80%A6%2B1%2F99-1%2F100+1%2F%28101%2B1%29%2B1%2F%282%2B102%29%2B1%2F%283%2B103%29%2B%E2%80%A6%2B1%2F%2849%2B149%29%2B1%2F%2850%2B150%29%E7%AC%AC%E4%B8%80%E8%A1%8C%E6%98%AF%E5%88%86%E5%AD%90%2C%E7%AC%AC%E4%BA%8C%E8%A1%8C%E6%98%AF%E5%88%86%E6%AF%8D)
1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)第一行是分子,第二行是分母
1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)
第一行是分子,第二行是分母
1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)第一行是分子,第二行是分母
分子=1-1/2+1/3-1/4+1/5-1/6……+1/99-1/100
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-2*(1/2+1/4+1/6+.+1/100)
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
分母=1/102+1/104+1/106+.+1/200
=1/2*(1/51+1/52+1/53+.+1/100)
分子除分母=1/(1/2)=2