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2022 AMC 10A Question 1

AMC10 · 2022 AMC 10A

Question 1

What is the value of $$
3+\dfrac{1}{3+\dfrac{1}{3+\dfrac{1}{3}}}?
$$
  1. $\dfrac{31}{10}$
  2. $\dfrac{49}{15}$
  3. $\dfrac{33}{10}$
  4. $\dfrac{109}{33}$
  5. $\dfrac{15}{4}$