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SASMO 2022 Grade 10 Question 14

SASMO · SASMO 2022 Grade 10

Question 14

A sequence $(a_n)$ is defined by $a_1=3$ and $$a_n=\frac{1+a_{n-1}}{1-a_{n-1}}\quad(n\ge2).$$ Find $|6a_{2022}|$.
  1. 18
  2. 12
  3. 3
  4. 2
  5. None of the above