| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2022 |
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| Session | June |
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| Topic | Integration with Partial Fractions |
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6 Prove by mathematical induction that \(\left( \begin{array} { r l } 2 & 0
- 1 & 1 \end{array} \right) ^ { n } = \left( \begin{array} { c c } 2 ^ { n } & 0
1 - 2 ^ { n } & 1 \end{array} \right)\) for all positive integers \(n\).
Answer all the questions.
Section B (107 marks)