| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2020 |
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| Session | September |
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| Topic | Proof by induction |
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6. A sequence is defined by \(U _ { n } = 2 ^ { n + 1 } + 9 \times 13 ^ { n }\) for positive integer values of \(n\).
Prove by induction that \(U _ { n }\) is divisible by 11 .
(5)