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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: 2/2 x 3 + 2/ 3 x 4 + 2/4 x 5 + ……… + 2/49 x 50

Toán Lớp 6: 2/2 x 3 + 2/ 3 x 4 + 2/4 x 5 + ……… + 2/49 x 50

Comments ( 2 )

  1. 2/( 2 xx 3 ) + 2/( 3 xx 4 ) + 2/( 4 xx 5 ) + …. + 2/( 49 xx 50 )
    = 2 xx ( 1/( 2 xx 3 ) + 1/( 3 xx 4 ) + 1/( 4 xx 5 ) + …. + 1/( 49 xx 50 ) )
    = 2 xx ( 1/2 – 1/3 + 1/3 – 1/4 + 1/4 – 1/5 + …. + 1/49 – 1/50 )
    = 2 xx ( 1/2 – 1/50 )
    = 2 xx 12/25
    = 24/25
     

  2. Đặt A =2/{2 . 3} + 2/{ 3 . 4} + 2/{4 . 5} + … + 2/{49 . 50}
    -> A = 2(1/{2 . 3} + 1/{ 3 . 4} + 1/{4 . 5} + … + 1/{49 . 50})
    -> A =2( 1/2 -1/3 +1/3 -1/4 +1/4 -1/5 + … + 1/49 -1/50 )
    -> A = 2(1/2 -1/50)
    -> A = 1 – 2/50 = 48/50 = 24/25
    Vậy 2/{2 . 3} + 2/{ 3 . 4} + 2/{4 . 5} + … + 2/{49 . 50} = 24/25

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222-9+11+12:2*14+14 = ? ( )

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