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

Toán Lớp 6: giúp mình với 1) B= 2 mũ 2 +2 mũ 4 + 2 mũ 6 +…+ 2 mũ 90 chứng minh B chia hết cho 21

Toán Lớp 6: giúp mình với
1) B= 2 mũ 2 +2 mũ 4 + 2 mũ 6 +…+ 2 mũ 90
chứng minh B chia hết cho 21

Comments ( 1 )

  1. B=1+ 2^2 +2^4 + 2^6 +…+ 2^90
    B=(1+2^2+2^4)+(2^6+2^8+2^10)+……………..+(2^86+2^88+2^90)
    B=1.(1+2^2+2^4)+2^6.(1+2^2+2^4)+………………….+2^86.(1+2^2+2^4)
    B=1.21+2^6. 21+…………+2^86. 21
    B=21.(1+2^6+……………..+2^86)
    Vì 21vdots21
    =>21.(1+2^6+……………..+2^86)vdots21
    =>B vdots21

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