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2018 AMC 10A Question 1

AMC10 · 2018 AMC 10A

Question 1

What is the value of $$
\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1?
$$
  1. $\dfrac{5}{8}$
  2. $\dfrac{11}{7}$
  3. $\dfrac{8}{5}$
  4. $\dfrac{18}{11}$
  5. $\dfrac{15}{8}$