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

Toán Lớp 6: Cho M=2+`2^2+2^3+…+2^20 Chứng minh: M ` vdots` 10

Toán Lớp 6: Cho M=2+2^2+2^3+…+2^20
Chứng minh: M vdots 10

Comments ( 2 )

  1. M = 2 + 2^{2} + 2^{3} + … + 2^{20
    M = ( 2 + 2^{2} + 2^{3} + 2^{4} ) + ( 2^{5} + 2^{6} + 2^{7} + 2^{8} ) + …. + ( 2^{17} + 2^{18} + 2^{19} + 2^{20} )
    M = ( 2 + 2^{2} + 2^{3} + 2^{4} ) + 2^{4}( 2 + 2^{2} + 2^{3} + 2^{4} ) + …. + 2^{16}( 2 + 2^{2} + 2^{3} + 2^{4})
    M = 30 . ( 1 + 2^{4} + … + 2^{16} )
    M = 3 . 10 . ( 1 + 2^{4} + … + 2^{16} ) vdots 10

  2. M=2+2^2+2^3+…+2^20
    M=(2+2^2+2^3+2^4)+…….+(2^17+2^18+2^19+2^20)
    M=1.(2+2^2+2^3+2^4)+………..+2^16(2+2^2+2^32^4)
    M=1.30+………..+2^16. 30
    M=30.(1+………….+2^16)
    Vì 30vdots10
    =>30.(1+………….+2^16)vdots10
    =>Mvdots10
     

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