Edexcel D1 2016 June — Question 5

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2016
SessionJune
TopicFixed Point Iteration

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{22ff916a-4ba8-4e0c-9c53-e82b0aff0b98-06_1388_1648_246_221} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} An algorithm is described by the flow chart shown in Figure 4. Given that \(x = 27\) and \(y = 5\),
  1. complete the table in the answer book to show the results obtained at each step when the algorithm is applied. Give the final output. The numbers 122 and \(\frac { 1 } { 2 }\) are to be used as inputs for the algorithm described by the flow chart.
    1. State, giving a reason, which number should be input as \(x\).
    2. State the output.