求和Sn=1/1*4+1/4*7+.1/(3n-2)(3n+1)

学习 时间:2026-04-03 14:55:24 阅读:6396
求和Sn=1/1*4+1/4*7+.1/(3n-2)(3n+1)

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动听的歌曲

甜美的香菇

2026-04-03 14:55:24

答:Sn=1/1*4+1/4*7+。。+1/(3n-2)(3n+1)=(1-1/4)*1/3+(1/4-1/7)*1/3+。。。+(1/(3n-2)-1/(3n+1))*1/3=(1-1/4+1/4-1/7+。。。+1/(3n-2)-1/(3n+1))*1/3=(1-1/(3n+1))*1/3=1/3-1/(9n+3)

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  • 孤独的溪流
    回复
    2026-04-03 14:55:24

    答:Sn=1/1*4+1/4*7+。。+1/(3n-2)(3n+1)=(1-1/4)*1/3+(1/4-1/7)*1/3+。。。+(1/(3n-2)-1/(3n+1))*1/3=(1-1/4+1/4-1/7+。。。+1/(3n-2)-1/(3n+1))*1/3=(1-1/(3n+1))*1/3=1/3-1/(9n+3)

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