| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2020 |
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| Session | June |
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| Topic | Proof by induction |
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10.
Prove by induction that for \(n \in \mathbb { Z } ^ { + }\)
$$2 \times 4 + 4 \times 5 + 6 \times 6 + \ldots + 2 n ( n + 3 ) = \frac { 2 } { 3 } n ( n + 1 ) ( n + 5 )$$