Question 15 - A-Level Maths

(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.