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Nguyễn Hoàng Giang

10/03/2017 at 18:44
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The provincial : \(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+......+\dfrac{1}{9900}\)




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    Nguyễn Việt Hoàng 10/03/2017 at 18:53

    We have : \(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+.....+\dfrac{1}{9900}\)

    \(=\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+.....+\dfrac{1}{99.100}\)

    \(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+.....+\dfrac{1}{99}-\dfrac{1}{100}\)

    \(=\dfrac{1}{2}-\dfrac{1}{100}\)

    \(=\dfrac{49}{100}\)

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    FA FIFA Club World Cup 2018 16/01/2018 at 22:07

    We have : 16+112+120+.....+19900

    =12.3+13.4+14.5+.....+199.100

    =12−13+13−14+.....+199−1100

    =12−1100

    =49100


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