| Exam Board | OCR MEI |
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| Module | Further Pure Core AS (Further Pure Core AS) |
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| Year | 2018 |
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| Session | June |
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| Topic | Proof by induction |
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8 Prove by induction that \(\left( \begin{array} { l l } 1 & 1
0 & 2 \end{array} \right) ^ { n } = \left( \begin{array} { c c } 1 & 2 ^ { n } - 1
0 & 2 ^ { n } \end{array} \right)\) for all positive integers \(n\).