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Determine-a-a-ar-a-r-ar-2-a-2r-ar-n-1-a-n-1-r-




Question Number 5783 by Rasheed Soomro last updated on 27/May/16
  Determine:  a^a +(ar)^(a+r) +(ar^2 )^(a+2r) +...+(ar^(nāˆ’1) )^(a+(nāˆ’1)r)
$$ \\ $$$$\mathcal{D}{etermine}: \\ $$$${a}^{{a}} +\left({ar}\right)^{{a}+{r}} +\left({ar}^{\mathrm{2}} \right)^{{a}+\mathrm{2}{r}} +…+\left({ar}^{{n}āˆ’\mathrm{1}} \right)^{{a}+\left({n}āˆ’\mathrm{1}\right){r}} \\ $$

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