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

Toán Lớp 6: A = 2^100 – 2^99 + 2^98-2^97 +-.+2^2 -2 E = 1+ 5^2 + 5^4 + -.+ 5^98

Toán Lớp 6: A = 2^100 – 2^99 + 2^98-2^97 +…..+2^2 -2
E = 1+ 5^2 + 5^4 + …..+ 5^98

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    A = 2^100 – 2^99 + 2^98-2^97 +…..+2^2 -2
    A = 2^99 . 2 – 2^99 + 2^97 . 2 – 2^97 +…+ 2 . 2 – 2
    A = 2^99 . (2 – 1) + 2^97 . (2-1) +…+ 2(2-1)
    A = 2^99 + 2^97  +…+ 2
    4A = 2^101 + 2^99 + 2^97 +…+ 2^3
    3A = 2^101 – 2
    A = {2^101 – 2}/3
    E = 1+ 5^2 + 5^4 + …..+ 5^98
    25E = 5^2 + 5^4 + 5^6 +…+ 5^100
    24E = 5^100 – 1
    E = {5^100 – 1}/24

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