| Exam Board | WJEC |
|---|
| Module | Further Unit 1 (Further Unit 1) |
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| Year | 2023 |
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| Session | June |
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| Topic | Proof by induction |
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7. Using mathematical induction, prove that
$$\left[ \begin{array} { l l }
2 & 5
0 & 2
\end{array} \right] ^ { n } = \left[ \begin{array} { c c }
2 ^ { n } & 2 ^ { n - 1 } \times 5 n
0 & 2 ^ { n }
\end{array} \right]$$
for all positive integers \(n\).