Higher June 2023 Paper 6 Q17
17 The \(k\)th term of a sequence is \(r^k\), where \(r \ne 0\).
The sixth term is equal to three times the second term.
Find the value of \(r\), giving your answer correct to 3 decimal places. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 1.316 | 4 | B3 for answer 1.3160 to 1.3161 OR M3 for [\(r\) =] \(\sqrt[4]{3}\) oe or M2 for \(r^4 = 3\) or M1 for \(r^6 = 3r^2\) Trials or insufficient method: B4 for answer 1.316 or B3 for answer 1.3160 to 1.3161 or M2 for at least three correct trials of \(r^4\) oe or of \(r^6\) and \(3r^2\) oe or M1 for at least two correct trials of \(r^4\) oe or of \(r^6\) and \(3r^2\) oe | eg M3 for \(\sqrt{3}\) = 1.73[2…] and \(\sqrt{1.73[2\ldots]}\) Accept evaluations to 2sf rot Accept evaluations to 2sf rot |