Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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

Toán Lớp 6: Cho A=2+2^2+2^3+2^4+-…+2^100. Chứng minh A chia hết cho 3

Toán Lớp 6: Cho A=2+2^2+2^3+2^4+…….+2^100. Chứng minh A chia hết cho 3

Comments ( 2 )

  1. A=2+2^2+2^3+2^4+………………………+2^100
    A=(2+2^2)+(2^3+2^4)+………………………..+(2^99+2^100)
    A=2.(1+2)+2^3.(1+2)+…………………………+2^99.(1+2)
    A=2.3+2^3. 3+…………………+2^99. 3
    A=3.(2+2^3+………………+2^99)
    Vì 3vdots3
    =>Avdots3
    Vậy Avdots3
     

  2. A = 2 + 2^2 + 2^3 + 2^4 + .. 2^100
    A = ( 2 + 2^2 ) + ( 2^3 + 2^4 ) + … + ( 2^99 + 2^100 )
    A = 2 (1+2) + 2^3 ( 1 + 2 ) + … + 2^99 ( 1 + 2 )
    A = ( 2 * 3 + 2^3 * 3 + … 2^99 * 3 ) vdots 3 ( đpcm)  

Leave a reply

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

About Xuân