| Exam Board | OCR MEI |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2012 |
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| Session | January |
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| Topic | Proof by induction |
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6 Prove by induction that \(\sum _ { r = 1 } ^ { n } r 3 ^ { r - 1 } = \frac { 1 } { 4 } \left[ 3 ^ { n } ( 2 n - 1 ) + 1 \right]\).
Section B (36 marks)