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
人气:411 ℃ 时间:2019-11-04 14:03:20
解答
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+1/10...
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