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

Toán Lớp 6: Cho A=100/1*101+100/2*102+…+100/24*124+100/25*125 B=25/1*26+25/2*27+…+25/99*124+25/100*125 So sánh A&B

Toán Lớp 6: Cho
A=100/1*101+100/2*102+…+100/24*124+100/25*125
B=25/1*26+25/2*27+…+25/99*124+25/100*125
So sánh A&B

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    A=100/1*101+100/2*102+…+100/24*124+100/25*125
    A=100/1.101+100/2.102+…+100/24.124+100/25.125
    A=1/1- 1/101+ 1/2 – 1/102 +..+ 1/24 -1/124 + 1/25- 1/125
    A=(1/1+ 1/2 +…+ 1/24+ 1/25)-(1/101 + 1/102 +…+ 1/124 + 1/125)
    A=(1/1+ 1/2 +…+ 1/24+ 1/25+..+1/99+1/100)-(1/26 + 1/27 +…+ 1/124 + 1/125)
    Lại có:
    B=25/1*26+25/2*27+…+25/99*124+ 25/100*125
    B=25/1.26+25/2.27+…+25/99.124+25/100.125
    B=1/1 – 1/26 + 1/2 – 1/27 +..+ 1/99- 1/124+ 1/100 – 1/125
    B=(1/1+ 1/2 +…+ 1/99+ 1/100)-(1/26 + 1/27 +…+ 1/124 + 1/125)
    =>A=B(đpcm)

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

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