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

Toán Lớp 6: CMR: (1+1/3+1/5+…+1/101) – (1/2+1/4+1/6+…+1/100+1/102)=1/52+1/53+1/100+1/101+1/102 Nhanh lên nha ai nhanh hơn và đúng có ctlhn

Toán Lớp 6: CMR:
(1+1/3+1/5+…+1/101) – (1/2+1/4+1/6+…+1/100+1/102)=1/52+1/53+1/100+1/101+1/102
Nhanh lên nha
ai nhanh hơn và đúng có ctlhn

Comments ( 2 )

  1. Giải đáp:
     Ta có:
    (1 +  1/3 + 1/5 + ……….. + 1/101) – ( 1/2 + 1/4 + 1/6 + ……… + 1/100 + 1/102)
    = 1 + 1/3 + 1/5 + ……. + 1/101 + 1/2 + 1/4 +…….. + 1/102 – 2(1/2 + 1/4 + ………. + 1/102)
    = 1 + 1/2 + 1/3 + ………….. + 1/101 + 1/102 – 1 – 1/2 – 1/3 – ………… – 1/51
    = 1/52 + 1/53 +………. + 1/100 + 1/101 + 1/102
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
    (1+1/3+1/5+…+1/101) – (1/2+1/4+1/6+…+1/100+1/102)$\\$=1+1/2+1/3+1/4+1/5+…+1/101+1/102-2.(1/2+1/4+1/6+…+1/100+1/102)$\\$=1+1/2+1/3+1/4+1/5+…+1/101+1/102-1-1/2-1/3-…-1/51$\\$=1/52+1/53+1/100+1/101+1/102$\\$Vậy \ \ (1+1/3+1/5+…+1/101) – (1/2+1/4+1/6+…+1/100+1/102)=1/52+1/53+1/100+1/101+1/102

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

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