| Exam Board | SPS |
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| Module | SPS SM Statistics (SPS SM Statistics) |
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| Year | 2022 |
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| Session | February |
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| Topic | Trig Proofs |
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10. (i) Use proof by exhaustion to show that for \(n \in \mathbb { N } , n \leqslant 4\)
$$( n + 1 ) ^ { 3 } > 3 ^ { n }$$
(ii) Given that \(m ^ { 3 } + 5\) is odd, use proof by contradiction to show, using algebra, that \(m\) is even.
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