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Question Number 5783 by Rasheed Soomro last updated on 27/May/16

  Determine:  a^a +(ar)^(a+r) +(ar^2 )^(a+2r) +...+(ar^(n−1) )^(a+(n−1)r)

$$ \\ $$$$\mathcal{D}{etermine}: \\ $$$${a}^{{a}} +\left({ar}\right)^{{a}+{r}} +\left({ar}^{\mathrm{2}} \right)^{{a}+\mathrm{2}{r}} +...+\left({ar}^{{n}−\mathrm{1}} \right)^{{a}+\left({n}−\mathrm{1}\right){r}} \\ $$

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