Toán Lớp 6: Chứng mình số sau chia hết cho 2;3;6
A=2+2^2+…+2^100
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Toán Lớp 6: Chứng mình số sau chia hết cho 2;3;6
A=2+2^2+…+2^100
Comments ( 2 )
A=2.1+2.2+…+2.2^99
A=2(1+2+…+2^99)\vdots2(1)
A=2+2^2+…+2^100
A=(2+2^2)+…+(2^99+2^100)
A=2(1+2)+…+2^99(1+2)
A=2.3+…+2^99. 3
A=3(2+…+2^99)\vdots3(2)
Mà Ư CLN(2;3)=1(3)
Từ (1);(2);(3)=>A \vdots6
Vậy A\vdots3;2;6