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

Toán Lớp 7: Tính : A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+…+1/16(1+2+3+…+16)

Toán Lớp 7: Tính : A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+…+1/16(1+2+3+…+16)

Comments ( 2 )

  1. A=1+1/2 .(1+2)+1/3 .(1+2+3)+1/4 . (1+2+3+4)+…+1/16.(1+2+3+4+…16)
    =1+1/2 . \frac{2.3}{2}+1/3 .\frac{3.4}{2}+1/4.\frac{4.5}{2}+…+1/16+\frac{16.17}{2}
    =1+3/2+4/2+….+17/12
    =1/2.(2+3+4+…+17)
    =1/2 . \frac{(2+17).16}{2}
    =1/2 .152
    =76

  2. Lời giải chi tiết:
    A=1+1/2.(1+2)+1/3.(1+2+3)+…+1/16.(1+2+3+…+16)
    A=1+1/2.(2.3)/2+1/(3).(3.4)/2+…+1/(16).(16.17)/2
    A=2/2+3/2+4/2+…+17/2
    A=(2+3+4+…+17).(1)/2
    A=152.(1)/2
    A=76
    @uniquetimehunter

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