Higher June 2024 Paper 5 Q14
14 Here are the first four terms of a sequence.
\(\frac{2}{5} \qquad \frac{4}{9} \qquad \frac{6}{13} \qquad \frac{8}{17}\)
Find the \(n\)th term of the sequence. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{2n}{4n + 1}\) oe final answer | 3 | Condone consistent use of different variable for all marks e.g. B2 for denominator \(4x + 1\) For B marks isw attempts to cancel after seen in fraction | |
| B2 for denominator \(4n + 1\) oe or for \(2n\) and \(4n + 1\) seen | B2 for denominator e.g. \(5 + 4(n - 1)\) oe May not be in a fraction | ||
| or B1 for \(2n\) oe or for \(4n + c\) oe | For B1 expressions do not need to be in a fraction where \(c\) is any number including zero, or ‘\(c\)’ B1 for e.g. \(4n\), \(4n + c\), \(4n - 1\), \(3 + 4(n - 1)\) Do not allow as part of an incorrect expression e.g. \(2n^2 + 4n\) | ||