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PIMSO 2025 - Mathematics - Secondary 4 - National Round Question 14

PIMSO Maths · PIMSO 2025 - Mathematics - Secondary 4 - National Round

Question 14

A sequence $x_n$ is defined by $x_1=3$ and $x_{n+1}=\frac{x_n}{1+nx_n}$ for all $n\geq1$. Then $x_{15}$ is
  1. $3/311$
  2. $3/316$
  3. $354/3$
  4. $316/3$