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

Toán Lớp 6: 1. Tính S, biết: S=1+3+3²+…+3³⁰ Mình cần gấp ạ

Toán Lớp 6: 1. Tính S, biết: S=1+3+3²+…+3³⁰
Mình cần gấp ạ

Comments ( 1 )

  1. S = 1 + 3 + $3^2$ + … + $3^{30}$
    3S = 3. ( 1 + 3 + $3^2$ + … + $3^{30}$ )
    3S = 3 + $3^2$ + $3^3$ + … + $3^{31}$
    3S – S = ( 3 + $3^2$ + $3^3$ + … + $3^{31}$ ) – ( 1 + 3 + $3^2$ + … + $3^{30}$ )
    2S = $3^{31}$ – 1
    S = $\dfrac{3^{31} – 1}{2}$
      Vậy S = $\dfrac{3^{31} – 1}{2}$
     

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