Higher November 2022 Paper 2 Q17

AQACurrent spec1 markIterations

17 A sequence of numbers is formed by the iterative process

\[u_{n+1} = \dfrac{20}{u_n + 3} \qquad \text{where} \qquad u_1 = 1\]

Work out \(u_3\)

Circle your answer. [1 mark]

  • \(\dfrac{40}{11}\)
  • \(\dfrac{5}{2}\)
  • 7
  • 5