Toán Lớp 6: Cho A = 2 + 2^2 + 2^3 + 2^4 + … + 2^100. Chứng minh A chia hết cho 3.
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Toán Lớp 6: Cho A = 2 + 2^2 + 2^3 + 2^4 + … + 2^100. Chứng minh A chia hết cho 3.
Comments ( 2 )
Cho a=(2+2’2)+(2’3+2’4)+…+(2’100+2’101)
A=3+2(1+2’3)+…+2’99(1+2’3)
A=3(1+2’3+…+2’99)
A=3.(1+2’3+…+2’99)
Vậy A chia hết cho 3