Skip to content / Đến nội dung
ThichHocToan.com

1971 AMC 12 Question 32

AMC12 · 1971 AMC 12

Question 32

If $$
\begin{aligned} s={}&(1+2^{-\frac{1}{32}})(1+2^{-\frac{1}{16}})\\ &\cdot(1+2^{-\frac{1}{8}})(1+2^{-\frac{1}{4}})\\ &\cdot(1+2^{-\frac{1}{2}}), \end{aligned}
$$ then $s$ is equal to:
  1. $\dfrac12(1-2^{-\frac{1}{32}})^{-1}$
  2. $(1-2^{-\frac{1}{32}})^{-1}$
  3. $1-2^{-\frac{1}{32}}$
  4. $\dfrac12(1-2^{-\frac{1}{32}})$
  5. $\frac{1}{2}$