| Exam Board | Edexcel |
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| Module | F1 (Further Pure Mathematics 1) |
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| Year | 2017 |
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| Session | June |
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| Topic | Proof by induction |
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3. Prove by induction that for \(n \in \mathbb { Z } ^ { + }\)
$$\sum _ { r = 1 } ^ { n } \frac { 2 } { r ( r + 1 ) ( r + 2 ) } = \frac { 1 } { 2 } - \frac { 1 } { ( n + 1 ) ( n + 2 ) }$$