Mọi người giúp mình nha ! Mình cần gấp lắm . Tính nhanh: -(1+1/3)x(1+1/8)x(1+1/15)+…………+(1+1/9999)

Question

Mọi người giúp mình nha ! Mình cần gấp lắm .
Tính nhanh:
-(1+1/3)x(1+1/8)x(1+1/15)+…………+(1+1/9999)

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Maris 4 years 2020-10-14T21:30:12+00:00 2 Answers 176 views 0

Answers ( )

  1. Adela
    0
    2020-10-14T21:31:29+00:00
    Reply

    (1+1/3)+(1+1/8)+(1+1/15)+….+(1+1/9999)

    =4/3 x 9/8 x 16/15 x…….x10000/9999

    =2,2/1,3 x 3,3/2,4 x 4,4/3,5 x…….x100,100/99,101

    =2,3,4….100/1,2,3….99 x 2,3,4…..100/3,4,5….101

    =100 x 2/101

    =200/101

  2. Tryphena
    0
    2020-10-14T21:31:58+00:00
    Reply

    $\text{@Chi_}$

    $(1+$ `1/3` $)+(1+$ `1/8` $)+(1+$ `1/15` $)+ … +(1+$ `1/9999` $)$

    $=$ `4/3` $×$ `9/8` $×$ `16/15` $×$…$×$ `10000/9999`

    $=$ $2,$ `2/1,3` $×$ $3,$ `3/2,4` $×$ $4,$ `4/3,5` $×$… $100,$ `100/99,101`

    $=$ $2,3,4$ … `100/1,2,3` … $99×2,3,4$ … `100/3,4,5` … $101$

    $=$ $100×$ `2/101`

    $=$ `200/101`.

    $#Xin hay nhất !$

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