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

Toán Lớp 7: Cho B=2^1+3^2+3^3+–..+3^100

Toán Lớp 7: Cho B=2^1+3^2+3^3+……….+3^100

Comments ( 2 )

  1. Giải đáp:
    B=(3^101 -3)/2
    Lời giải và giải thích chi tiết:
    Sửa đề: B=3^1+3^2+3^3+…+3^100
    =>3B=3^2+3^3+3^4+…+3^101
    =>3B-B=(3^2+3^3+3^4+…+3^101)-(3+3^2+3^3+3^4+…+3^100)
    =>2B=3^101-3
    =>B=(3^101 -3)/2

  2. $\\$
    B=3^1+3^2+…+3^{100}
    =>3B=3(3^1+3^2+…+3^{100})
    =>3B=3^2+3^3+…+3^{101}
    =>3B-B=(3^2+3^2+…+3^{101})-(3^1+3^2+…+3^{100})
    =>2B=3^{101} – 3
    =>B=(3^{101}-3)/2
    Vậy B=(3^{101}-3)/2
     

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