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Exam-Style Question on ProofA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 651. This question is similar to one that appeared on an IB AA Higher paper in 2023. The use of a calculator is allowed.
Use mathematical induction to show that:
$$\sum_{r=1}^n \dfrac{1}{r(r+1)} = \dfrac{n}{n+1} $$for all \(n \in \mathbb{Z}^+\).
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