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

Toán Lớp 6: Tính tổng A = 2 + 2^2 + 2^3 + … + 2^100

Toán Lớp 6: Tính tổng A = 2 + 2^2 + 2^3 + … + 2^100

Comments ( 2 )

  1. A=2+$2^{2}$ +$2^{3}$ +….+$2^{100}$ 
    ⇒2A=(2+$2^{2}$ +$2^{3}$ +….+$2^{100}$ ).2
    ⇒2A=$2^{2}$ +$2^{3}$ +….+$2^{100}$ +$2^{101}$ 
    ⇒2A-A=($2^{2}$ +$2^{3}$ +….+$2^{100}$ +$2^{101}$ )-(2+$2^{2}$ +$2^{3}$ +….+$2^{100}$)
    ⇒2A-A=$2^{101}$ -2
    ⇒A=$2^{101}$ -2
    Vậy A=$2^{101}$ -2
     

  2. $A = 2 + 2^{2} + 2^{3} + … + 2^{100}$
    $A . 2 = 2^{2} + 2^{3} + 2^{4} + … + 2^{101}$
    $A . 2 – A = 2^{101} – 2$
    $A = 2^{101} – 2.$

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

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