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

Toán Lớp 6: CTR: 1+5+5 mũ 2 +…+ 5 mũ 7 + 5 mũ 8

Toán Lớp 6: CTR: 1+5+5 mũ 2 +…+ 5 mũ 7 + 5 mũ 8

Comments ( 2 )

  1. Đặt A= 1+5+ $5^{2}$ +…+ $5^{7}$ + $5^{8}$ 
    ⇒ 5A= 5+ $5^{2}$ + $5^{3}$ +…+ $5^{8}$ + $5^{9}$ 
    5A-A= (5+ $5^{2}$ + $5^{3}$ +…+ $5^{8}$ + $5^{9}$)-(1+5+ $5^{2}$ +…+ $5^{7}$ + $5^{8}$)
    4A= $5^{9}$ -1
    A= $\dfrac{5^9-1}{4}$
    A= $\dfrac{1953125-1}{4}$ = 488281

  2. Giải đáp+Lời giải và giải thích chi tiết:
    B=1+5+5^2+...+5^8
    B=(1+5+5^2)+(5^3+5^4+5^5)+(5^6+5^7+5^8)
    B=31+5^3.(1+5+5^2)+5^6.(1+5+5^2)
    B=31+5^3.31+5^6.31
    B=31.(1+5^3+5^6)

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

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