| Exam Board | WJEC |
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| Module | Further Unit 1 (Further Unit 1) |
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| Year | 2022 |
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| Session | June |
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| Topic | Sequences and series, recurrence and convergence |
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4. The positive integer \(N\) is such that \(1 ^ { 2 } + 2 ^ { 2 } + 3 ^ { 2 } + \ldots + N ^ { 2 } = ( 3 N - 2 ) ^ { 2 }\).
Write down and simplify an equation satisfied by \(N\). Hence find the possible values of \(N\).