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Question Number 5752 by Rasheed Soomro last updated on 26/May/16

Determine

1 + \frac{a r}{a + r} + \frac{{a r}^{2}}{a + 2 r} + \frac{{a r}^{3}}{a + 3 r} + \dots . + \frac{{a r}^{n - 1}}{a + (n - 1) r}