Skip to content / Đến nội dung
ThichHocToan.com

1974 AMC 12 Question 28

AMC12 · 1974 AMC 12

Question 28

Which of the following is satisfied by all numbers $x$ of the form $$
x=\frac{a_1}{3}+\frac{a_2}{3^2}+\cdots+\frac{a_{25}}{3^{25}},
$$ where $a_1$ is $0$ or $2,$ $a_2$ is $0$ or $2,$ $\ldots,$ $a_{25}$ is $0$ or $2?$
  1. $0\le x\lt\frac{1}{3}$
  2. $\frac{1}{3}\le x\lt\frac{2}{3}$
  3. $\frac{2}{3}\le x\lt1$
  4. $0\le x\lt\frac{1}{3}$ or $\frac{2}{3}\le
    x\lt1$
  5. $\frac{1}{2}\le x\le\frac{3}{4}$