| Exam Board | OCR |
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| Module | Further Pure Core 1 (Further Pure Core 1) |
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| Year | 2021 |
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| Session | June |
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| Topic | Sequences and series, recurrence and convergence |
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1 Find an expression for \(1 \times 2 ^ { 2 } + 2 \times 3 ^ { 2 } + 3 \times 4 ^ { 2 } + \ldots + n ( n + 1 ) ^ { 2 }\) in terms of \(n\). Give your answer in fully factorised form.