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

Toán Lớp 6: Cho A = 1 + 2^1 + 2^2 + 2^3 + … + 2^2007 a) Tính 2A b) Chứng minh : A = 2^2006 – 1

Toán Lớp 6: Cho A = 1 + 2^1 + 2^2 + 2^3 + … + 2^2007
a) Tính 2A
b) Chứng minh : A = 2^2006 – 1

Comments ( 2 )

  1. a/ 2A = 1.2 + 2^1.2 + 2^2.2 + … + 2^2007.2
    2A = 2 + 2^2 + 2^3 + … + 2^2008
    b/ Xét 2A = 2 + 2^2 + 2^3 + … + 2^2008
    2A – A = 2 + 2^2 + 2^3 + … + 2^2008 – (1 + 2^1 + 2^2 + 2^3 + … + 2^2007)
    A = 2^2008 – 1 

  2. Giải đáp:
    A, có A=1+$2^{1}$+$2^{2}$+$2^{3}$+….+$2^{2007}$
     =>2A=2.(1+$2^{1}$+$2^{2}$+$2^{3}$+….+$2^{2007}$)
     =>2A=2+$2^{2}$+$2^{3}$+$2^{4}$+….+$2^{2006}$
    b, có 2A-A=(2+$2^{2}$+$2^{3}$+$2^{4}$+….+$2^{2006}$-(1+$2^{1}$+$2^{2}$+$2^{3}$+….+$2^{2007}$)
    A=2+$2^{2}$+$2^{3}$+$2^{4}$+….+$2^{2006}$-1+$2^{1}$+$2^{2}$+$2^{3}$+….+$2^{2007}$
    A=$2^{2006}$-1
    đây nha chúc bn hk tốt
    cho mkhay nhất nha bn

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

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