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

Toán Lớp 6: Làm nhanh giúp mik nhoa !!! B6 a, A=3+3^2+3^3+…+3^100 b, B=2-2^2+2^3-2^4+…+2^99-2^100

Toán Lớp 6: Làm nhanh giúp mik nhoa !!!
B6
a, A=3+3^2+3^3+…+3^100
b, B=2-2^2+2^3-2^4+…+2^99-2^100

Comments ( 2 )

  1. a)A=3+3^2+3^3+…+3^100
    3A=3^2+3^3+…+3^101
    A=(3A-A)÷2
    A=(3^101-3)÷2
    b)B=2-2^2+2^3-2^4+…+2^99-2^100
    2B=2^2-2^3+2^4-2^5+……+2^100-2^101
    B=(2B-B)
    B=2-2^101
     

  2. Lời giải chi tiết:
    a) A=3+3^2+3^3+…+3^100
    3A=3^2+3^3+3^4+…+3^101
    3A-A=(3^2+3^3+3^4+…+3^101)-(3+3^2+3^3+…+3^100)
    2A=3^101-3
    A=(3^101-3)/2
    b) B=2-2^2+2^3-2^4+…+2^99-2^100
    2B=2^2-2^3+2^4-2^5+…+2^100-2^101
    2B+B=(2^2-2^3+2^4-2^5+…+2^100-2^101)+(2-2^2+2^3-2^4+…+2^99-2^100)
    3B=2-2^101
    B=(2-2^101)/3

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