$\sum_{r=1}^n \frac{1}{\sqrt{a+rx} + \sqrt {a+(r-1)x}}$

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Find the value of $$\sum_{r=1}^n \frac{1}{\sqrt{a+rx} + \sqrt {a+(r-1)x}}$$

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Hint: rationalise the denominator , and see what you get when you write done a few terms of this series.