1/1*4+1/4*7+1/7*10.+1/2002*2005(简算)

学习 时间:2026-08-14 16:59:26 阅读:1987
1/1*4+1/4*7+1/7*10.+1/2002*2005(简算)

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重要的橘子

粗犷的花瓣

2026-08-14 16:59:26

1/1×4+1/4×7+1/7×10+。。。+1/2002×2005 =(1/3)×(1/1-1/4)+(1/3)×(1/4-1/7)+(1/3)×(1/7-1/10)+。。。+(1/3)×(1/2002-1/2005) =(1/3)×(1/1-1/4+1/4-1/7+1/7-1/10+。。。+1/2002-1/2005) =(1/3)×(1-1/2005) =(1/3)×(2004/2005) =668/2005

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  • 专一的乌龟
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    2026-08-14 16:59:26

    1/1×4+1/4×7+1/7×10+。。。+1/2002×2005 =(1/3)×(1/1-1/4)+(1/3)×(1/4-1/7)+(1/3)×(1/7-1/10)+。。。+(1/3)×(1/2002-1/2005) =(1/3)×(1/1-1/4+1/4-1/7+1/7-1/10+。。。+1/2002-1/2005) =(1/3)×(1-1/2005) =(1/3)×(2004/2005) =668/2005

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