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Vũ Thị Diệu Linh

10/03/2017 at 21:11
Answers
8
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The provincial : \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right).......\left(1-\dfrac{1}{2017}\right)\)

Help me !

 




    List of answers
  • ...
    Taehyungie 10/03/2017 at 21:16

    We have:

    \(=\) \(\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot\dfrac{3}{4}\cdot...\cdot\dfrac{2016}{2017}\)
    \(=\dfrac{1\cdot2\cdot3\cdot4\cdot5\cdot...\cdot2016}{2\cdot3\cdot4\cdot5\cdot6\cdot...\cdot2017}\)

    \(=\dfrac{1}{2017}\)

  • ...
    →இے๖ۣۜQuỳnh 23/03/2017 at 14:20

    (1−12)(1−13)(1−14)...(1−12017)<=>12.23.34....20162017=1.2.3...20162.3.4...2017=12017(1−12)(1−13)(1−14)...(1−12017)<=>12.23.34....20162017=1.2.3...20162.3.4...2017=12017

    Value of the expression is 12017

  • ...
    Nguyễn Việt Hoàng 10/03/2017 at 21:18

    We have : \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)......\left(1-\dfrac{1}{2017}\right)\)

    \(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}......\dfrac{2016}{2017}\)

    \(=\dfrac{1}{2017}\)

  • ...
    Faded 26/01/2018 at 12:28

    We have:

    =

     12⋅23⋅34⋅...⋅20162017
    =1⋅2⋅3⋅4⋅5⋅...⋅20162⋅3⋅4⋅5⋅6⋅...⋅2017

    =12017

  • ...
    Nguyễn Trần Thành Đạt 10/03/2017 at 21:44

    \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)...\left(1-\dfrac{1}{2017}\right)\\ < =>\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}....\dfrac{2016}{2017}\\ =\dfrac{1.2.3...2016}{2.3.4...2017}\\ =\dfrac{1}{2017}\)

    Value of the expression is \(\dfrac{1}{2017}\)

  • ...
    35 Tiểu Bảo 03/04/2017 at 21:17

    (1−12)(1−13)(1−14)...(1−12017)<=>12.23.34....20162017=1.2.3...20162.3.4...2017=12017(1−12)(1−13)(1−14)...(1−12017)<=>12.23.34....20162017=1.2.3...20162.3.4...2017=12017

    Value of the expression is 12017

     
  • ...
    Love people Name Jiang 20/03/2017 at 17:57

    We have : \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right).......\left(1-\dfrac{1}{2017}\right)\)

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

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

  • ...
    Andrey Trà My 10/03/2017 at 22:49

    \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)...\left(1-\dfrac{1}{2017}\right)=\dfrac{-1}{2}.\dfrac{-2}{3}.\dfrac{-3}{4}...\dfrac{-2016}{2017}=\dfrac{1}{2017}\)


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