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

Toán Lớp 6: a)7/10.11+7/11.12+7/12.13+…+7/69.70. b) 5^2 /1.6 +…+5^2/ 26.31 c) 2+2^2+2^3 +…+2^50. d) 1+1/2+1/4+1/8+…+1/2024

Toán Lớp 6: a)7/10.11+7/11.12+7/12.13+…+7/69.70.
b) 5^2 /1.6 +…+5^2/ 26.31
c) 2+2^2+2^3 +…+2^50.
d) 1+1/2+1/4+1/8+…+1/2024

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) 7/10.11+7/11.12+7/12.13+…+7/69.70
    =7.(1/10.11+1/11.12+1/12.13+…+1/69.70)
    =7.(1/10-1/11+1/11-1/12-1/13+…+1/69-1/70)
    =7.(1/10-1/70)
    =7/10-1/10
    =3/5
    b) (5^2)/1.6+…+(5^2)/26.31
    =25.(1/1.6+…+1/26.31)
    =25.(1-1/6+…+1/26-1/31)
    =25.(1-1/31)
    =25*30/31
    =750/31
    c) A=2+2^2+2^3+…+2^50
    =>2A=2.(2+2^2+2^3+…+2^50)
    =>2A=2^2+2^3+2^4+…+2^51
    =>2A-A=(2^2+2^3+2^4+…+2^51)-(2+2^2+2^3+…+2^50)
    =>A=2^51-2
    Vậy g/t biểu thức là 2^51-2.
    d) Mình xin sửa lại đề ạ.
    A=1+1/2+1/4+1/8+…+1/2048
    =>2A=2.(1+1/2+1/4+1/8+…+1/2048)
    =>2A=2+1+1/2+1/4+…+1/1024
    =>2A-A=(2+1+1/2+1/4+…+1/1024)-(1+1/2+1/4+1/8+…+1/2048)
    =>A=2-1/2048
    =>A=4095/2048
    Vậy giá trị biểu thức là 4095/2048.

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a, 7/10.11 + 7/11.12 + 7/12.13 +…….+ 7/69.70
    = 7 . ( 1/10 – 1/11 + 1/11 – 1/12 + 1/12 – 1/13 +…..+ 1/69 – 1/70 )
    = 7 . ( 1/10 – 1/70 )
    = 7 . 3/35
    = 3/5
    c,-Đặt A = 2 + 2^2 + 2^3 +……….+ 2^50
                2A = 2^2 + 2^2 + 2^4 +…….+ 2^51
                2A – A = ( 2^2 + 2^2 + 2^4 +…….+ 2^51 ) – ( 2 + 2^2 + 2^3 +……….+ 2^50 )
                A = 2^51 – 2
    d, -Đặt B = 1 + 1/2 + 1/4 + 1/8 +…..+ 1/2048
                  2B = 2 + 1 + 1/2 + 1/4 +……..+ 1/1024
                  2B – B = ( 2 + 1 + 1/2 + 1/4 +……..+ 1/1024 ) – ( 1 + 1/2 + 1/4 + 1/8 +…..+ 1/2048 )
                  B = 2 – 1/2048
    #haducdung2009
                  

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

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