Question

[Bùi Hải Anh]

Tong say co chia het cho 7 khong

B=2+2 mu 2+2 mu 3 +...+2 mu 30

Answer 1

[♥Hàn Băng Nhi ♥]

B=2+2^2+2^3+.......+2^30

B=(2+2^2+2^3)+(2^4+2^5+2^6)+......................+(2^28+2^29+2^30)

B=2x(1+2+2^2)+2^4x(1+2+2^2)+......+2^28 x (1+2+2^2)

B= 2x7+2^4x7+....................+2^28x7

B=7 x (2+2^4+..........+2^28)

Ta thấy 7chia hết cho 7 do đó 7 x (2+2^4+.....+2^28) cũng chia hết cho 7 hay B chia hết cho 7