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Lê Quốc Trần Anh Coordinator

13/07/2017 at 12:08
Answers
2
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Calculate:

\(-\dfrac{1}{3}+\dfrac{1}{3^2}-\dfrac{1}{3^3}+...+\dfrac{1}{3^{100}}-\dfrac{1}{3^{101}}\)


Fraction


    List of answers
  • ...
    LIVERPOOL 13/07/2017 at 16:42

    A= \(-\dfrac{1}{3}+\dfrac{1}{3^2}-...+\dfrac{1}{3^{100}}-\dfrac{1}{3^{101}}\)

    =>3A=\(-1+\dfrac{1}{3}-...+\dfrac{1}{3^{99}}-\dfrac{1}{3^{100}}\)

    =>4A=\(-1-\dfrac{1}{3^{101}}\) =>A=\(\dfrac{-1-\dfrac{1}{3^{101}}}{4}\)

    Lê Quốc Trần Anh selected this answer.
  • ...
    FA KAKALOTS 28/01/2018 at 22:13

    A= −13+132−...+13100−13101

    =>3A=−1+13−...+1399−13100

    =>4A=−1−13101

     =>A=−1−131014


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