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

Toán Lớp 6: Rút gọn: Tính S = 1 – 2 + 2^2 – 2^3 + 2^4 – … – 2^2015 + 2^2016

Toán Lớp 6: Rút gọn: Tính S = 1 – 2 + 2^2 – 2^3 + 2^4 – … – 2^2015 + 2^2016

Comments ( 2 )

  1. ~ Bạn tham khảo ~
    S = 1 – 2 + 2^2 – 2^3 + 2^4 – … – 2^2015 + 2^2016
    => 2S = 2 – 2^2 + 2^3 – 2^4 + 2^5 – … – 2^2016 + 2^2017
    => 2S+S = 2 – 2^2 + 2^3 – 2^4 + 2^5 – … – 2^2016 + 2^2017+1 – 2 + 2^2 – 2^3 + 2^4 – … – 2^2015 + 2^2016
    => 3S = 2^2017+1
    => S = [2^2017+1]/3

  2. Giải đáp:
    S=1-2+22-23+24-…-22015+22016
    ⇒2S=2-22+23-24+25-…-22016+22017
    ⇒2S+S=2-22+23-24+25-…-22016+22017+1-2+22-23+24-…-22015+22016
    ⇒3S=22017+1
     
    Lời giải và giải thích chi tiết:
     

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

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