| Exam Board | AQA |
|---|
| Module | Further Paper 2 (Further Paper 2) |
|---|
| Year | 2022 |
|---|
| Session | June |
|---|
| Marks | 4 |
|---|
| Topic | Proof by induction |
|---|
5 Prove by induction that, for all integers \(n \geq 1\),
$$\sum _ { r = 1 } ^ { n } r ^ { 3 } = \left\{ \frac { 1 } { 2 } n ( n + 1 ) \right\} ^ { 2 }$$
[4 marks]