Higher June 2023 Paper 5 Q12
12 Here are the first four terms of a sequence.
\[\frac{2}{5} \qquad \frac{5}{10} \qquad \frac{8}{17} \qquad \frac{11}{26}\](a) Find the next term. [1]
(b) Find the \(n\)th term. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{14}{37}\) final answer | 1 | Ignore attempts to convert correct final answer to a decimal | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{3n - 1}{(n + 1)^2 + 1}\) oe final answer | 3 | M2 for \(3n - 1\) or \((n + 1)^2 + 1\) oe or M1 for \(3n\) [\(+\ k\) ] or for a quadratic expression in \(n\) oe | For 3 marks oe e.g. \(\frac{3n - 1}{[1]n^2 + 2n + 2}\), Condone consistent use of different variable for all marks e.g. M2 for \(3x - 1\) Where \(k\) is a value, or ‘\(k\)’ For M2 and M1 expressions do not need to be in a fraction |