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

Toán Lớp 6: Tính hợp lí A =6+6^2+6^3+…+6^99 B=3+3^3+3^5+…+3^51

Toán Lớp 6: Tính hợp lí A =6+6^2+6^3+…+6^99
B=3+3^3+3^5+…+3^51

Comments ( 2 )

  1. A=6+6^2+6^3+…+6^99
    6A=6^2+6^3+6^4+…+6^100
    6A-A=(6^2+6^3+6^4+…+6^100)-(6+6^2+6^3+…+6^99)
    5A=6^100 -6
    A=(6^100 -6)/5
    —–
    B=3+3^3+3^5+…+3^51
    3^2B=3^2+3^5+3^7+…+3^53
    3^2B-B=9B-B=(3^2+3^5+3^7+…+3^53)-(3+3^3+3^5+…+3^51)
    8B=3^53 -3
    B=(3^53 -3)/8

  2. Lời giải và giải thích chi tiết:
    A = 6 + 6^2 + 6^3 + ………. + 6^99
    6A = 6^2 + 6^3 + 6^4 + ……… + 6^100
    6A – A = (6^2 + 6^3 + 6^4 + ……… + 6^100) – (6 + 6^2 + 6^3 + ………. + 6^99)
    5A = 6^100 – 6
    A = (6^100 – 6)/5
    B = 3 + 3^3 + 3^5 +………… + 3^51
    9B = 3^3 + 3^5 + 3^7 + ………. + 3^53
    9B – B = (3^3 + 3^5 + 3^7 + ………. + 3^53) – (3 + 3^3 + 3^5 +………… + 3^51)
    8B = 3^53 – 3
    B = (3^53 – 3)/8

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

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