( 1 – 1 / 2 ) x ( 1 – 1 / 3 ) x ( 1 – 1 / 4 ) x …. x ( 1 – 1 / 2020 ) + x = 1 / 2

Question

( 1 – 1 / 2 ) x ( 1 – 1 / 3 ) x ( 1 – 1 / 4 ) x …. x ( 1 – 1 / 2020 ) + x = 1 / 2

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Claire 1 giờ 2021-09-08T13:38:40+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-08T13:39:57+00:00

    Đáp án:

     1009/2020

    Giải thích các bước giải:

    ( 1 – 1 / 2 ) x ( 1 – 1 / 3 ) x ( 1 – 1 / 4 ) x …. x ( 1 – 1 / 2020 ) + x = 1 / 2

    ⇒1/2×2/3×3/4x…x2019/2020+x=1/2

    ⇒1x2x3x….2019/2x3x4x…x2020 +x =1/2

    ⇒1/2020 + x=1/2

    ⇒x=1/2-1/2020

    ⇒x=1010/2020-1/2020

    ⇒x=1009/2020

     

    0
    2021-09-08T13:40:17+00:00

    Đáp án:

     

    Giải thích các bước giải:

       (1 – 1/2) x (1 – 1/3) x (1 – 1/4) x …. x (1 – 1/2020) + x = 1/2

    = $\frac{1}{2}$ . $\frac{2}{3}$ . $\frac{3}{4}$ . … . $\frac{2019}{2020}$ + x = $\frac{1}{2}$ 

    =$\frac{1 . 2 . 3 …. 2019}{2 . 3 . 4 …. 2020}$ + x = $\frac{1}{2}$ 

    = $\frac{1}{2020}$ + x = $\frac{1}{2}$ 

    => x = $\frac{1}{2}$ – $\frac{1}{2020}$

    => x = $\frac{1010}{2020}$ – $\frac{1}{2020}$

    => x = $\frac{1009}{2020}$

    CHÚC BẠN HỌC TỐT

    CHO MÌNH CÂU TRẢ LỜI HAY NHẤT NHA

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