| Exam Board | OCR |
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| Module | Further Additional Pure (Further Additional Pure) |
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| Year | 2019 |
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| Session | June |
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| Topic | Sequences and Series |
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1 The sequence \(\left\{ u _ { n } \right\}\) is defined by \(u _ { 0 } = 2 , u _ { 1 } = 5\) and \(u _ { n } = \frac { 1 + u _ { n - 1 } } { u _ { n - 2 } }\) for \(n \geqslant 2\).
Prove that the sequence is periodic with period 5.