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: Chứng minh C chia hết cho 31 biết : C= 5 + 5 ² + $5^{3}$ + … + $5^{20}$

Toán Lớp 6: Chứng minh C chia hết cho 31 biết :
C= 5 + 5 ² + $5^{3}$ + … + $5^{20}$

Comments ( 2 )

  1. C = 5 + 5^2 + 5^3 + …. + 5^20
    C = 5 . (1 + 5 + 5^2) + ….. + 5^18 + (1 + 5 + 5^3)
    C = 5 . 31 + …… + 5^18 + 31
    => C = 31 . (5 + 5^4 + ….. 5^18) \vdots 31 (Do 31 \vdots 31)
     

  2. $C=5+5^2+5^3+…+5^{20}$
    $C=5(1+5+5^2)+…+5^{18}(1+5+5^3)$
    $C=5.31+…+5^{18}.31$
    $C=(5+5^4+…+5^{18}).31\;\vdots\; 31$

Leave a reply

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

About Ái Linh