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

Toán Lớp 6: A=2 mũ 4+2 mũ 5+2 mũ 6+-..+2 mũ 50 B=4 mũ 3+4 mũ 4+4 mũ 5+–+4 mũ 200

Toán Lớp 6: A=2 mũ 4+2 mũ 5+2 mũ 6+……+2 mũ 50
B=4 mũ 3+4 mũ 4+4 mũ 5+……..+4 mũ 200

Comments ( 2 )

  1. A = 2^{4} + 2^{5} + … + 2^{50}
    2A = 2 . (2^{4} + 2^{5} + … + 2^{50})
    2A = 2^{5} + 2^{6} + … + 2^{51}
    2A – A = (2^{5} + 2^{6} + … + 2^{51}) – (2^{4} + 2^{5} + … + 2^{50})
    A = 2^{51} – 2^{4}
    _______________________
    B = 4^{3} + 4^{4} + … + 4^{200}
    4B = 4 . (4^{3} + 4^{4} + … + 4^{200})
    4B = 4^{4} + 4^{5} + … + 4^{201}
    4B – B = (4^{4} + 4^{5} + … + 4^{201}) – (4^{3} + 4^4} + … + 4^{200})
    3B = 4^{201} – 4^{3}
    B = {4^{201} – 4^{3}}/3

  2. A=2^4+2^5+2^6+….+2^50
    2A=2^5+2^6+2^7+…+2^51
    2A-A=(2^5+2^6+2^7+…+2^51)-(2^4+2^5+2^6+….+2^50)
    A=2^51-2^4
    —-
    B=4^3+4^4+4^5+…+4^200
    4B=4^4+4^5+4^6+…+4^201
    4B-B=(4^4+4^5+4^6+…+4^201)-(4^3+4^4+4^5+…+4^200)
    3B=4^201-4^3
    B=(4^201-4^3)/3

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

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