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

Toán Lớp 6: Cho A = 2=2 mũ 2 +=–.+ 2 mũ 2011 + 2 mũ 2012 + 2 mũ 2013 + 2 mũ 2014 + 2 mũ 2015 + 2 mũ 2016 , chứng minh A chia hết

Toán Lớp 6: Cho A = 2=2 mũ 2 +…………………+ 2 mũ 2011 + 2 mũ 2012 + 2 mũ 2013 + 2 mũ 2014 + 2 mũ 2015 + 2 mũ 2016 , chứng minh A chia hết cho 21

Comments ( 2 )

  1. A=2+2^2+2^3+2^4+….+2^2015+2^2016
    A=(2+2^2+2^3+2^4+2^5+2^6)….+(2^2011+2^2012+2^2013+2^2014+2^2015+2^2016)
    A=126+….+2^2010. (2+2^2+2^3+2^4+2^5+2^6)
    A=126+….+2^2010. 126
    A=126. (1+….+2^2010)
    A=6. 21. (1+….+2^2010)vdots21
    ->A=(2+2^2+2^3+2^4+….+2^2015+2^2016) vdots 21

  2. Lời giải và giải thích chi tiết:
    A = 2 + 2^2 + 2^3 + 2^4 + …………. + 2^2015 + 2^2016
    A = (2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6) + ……… + (2^2011 + 2^2012 + 2^2013 + 2^2014 + 2^2015 + 2^2016)
    A = 126 + …………. + 2^2010(2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6)
    A = 126 + ………… + 2^2010 . 126
    A = 126 . (1 + ………. + 2^2010)
    A = 21 . 6 . (1 + ………… + 2^2010) \vdots 21

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