| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2020 |
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| Session | November |
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| Topic | Proof by induction |
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7 Prove by mathematical induction that \(\sum _ { r = 1 } ^ { n } ( r \times r ! ) = ( n + 1 ) ! - 1\) for all positive integers \(n\).