1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+

学习时间:2026-03-30 20:33:11 阅读：6131

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

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愤怒的棒棒糖

2026-03-30 20:33:11

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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

1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+

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