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

Toán Lớp 6: CMR: 1+1/2+1/3+…+1/2^1999>1000

Toán Lớp 6: CMR: 1+1/2+1/3+…+1/2^1999>1000

Comments ( 1 )

  1. 1+1/2+1/3+…+1/2^{1999}>1000
    =1+1/2+(1/3+1/2^2)+(1/5+…+1/2^3)+(1/9+…+1/2^4)+…+(1/{2^{1998}+1}+…+1/2^{1999}>1+1/2+1/2^{2}.2+1/2^{3}.2^2+1/2^{4}.2^3+…+1/2^{1999}.2^{1998}
    =1+1/2.1999
    =1000,5>1000(đpcm)
     

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

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