9231 P13 - Jun 2017 - Q3 - 6 marks
6245
Prove, by mathematical induction, that \(\sum_{r=1}^{n} r \ln \left(\frac{r+1}{r}\right)=\ln \left(\frac{(n+1)^{n}}{n!}\right)\) for all positive integers \(n\).
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