| Exam Board | Edexcel |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2012 |
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| Session | June |
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| Topic | Proof by induction |
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10. Prove by induction that, for \(n \in \mathbb { Z } ^ { + }\),
$$f ( n ) = 2 ^ { 2 n - 1 } + 3 ^ { 2 n - 1 } \text { is divisible by } 5 .$$