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

Toán Lớp 7: Cứu với bài khó qué Tính: A = `1` + `5` + `5^2` + `5^3` + … + `5^49` + `5^50`

Toán Lớp 7: Cứu với bài khó qué
Tính:
A = 1 + 5 + 5^2 + 5^3 + … + 5^49 + 5^50

Comments ( 2 )

  1. text{ A=1+5+} $5^{2}$ text{ +}$5^{3}$ text{ +}…..text{ +}$5^{49}$text{ +}$5^{50}$ 
    text{A = 5 +} $5^{2}$ text{ +}$5^{3}$ text{ +}…..text{ +}$5^{49}$text{ +}$5^{50}$text{ +}$5^{51}$
    text{ A = (5 +} $5^{2}$ text{ +}$5^{3}$ text{ +}…..text{ +}$5^{49}$text{ +}$5^{50}$text{ +}$5^{51}$ ) text{- (1 + 5 +} $5^{2}$ text{ +}$5^{3}$ text{ +}…..text{ +}$5^{49}$text{ +}$5^{50}$ )
    text{A = 5 ^ 51 – 1}
    text{A=}$\dfrac{5^51-1}{4}$
    text{ * Lưu ý : 5^51 nhé}
    text{ Xin hay nhất}

  2. A = 1 + 5 + 5^{2} + 5^{3} + … + 5^{50}
    5A = 5 . (1 + 5 + 5^{2} + 5^{3} + … + 5^{50})
    5A = 5 + 5^{2} + 5^{3} + 5^{4} + … + 5^{51}
    5A – A = (5 + 5^{2} + 5^{3} + 5^{4} + … + 5^{51}) – (1 + 5 + 5^{2} + 5^{3} + … + 5^{50})
    4A = 5^{51} – 1
    A = {5^{51} – 1}/4
    $\text{Vậy}$ A = {5^{51} – 1}/4
     

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