Find the sum of the series : \( \frac{p^{r}}{r !}+\frac{p^{r-1}}{(r-1) !} \cdot \frac{q}{1}+\fra...
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Find the sum of the series :
\( \frac{p^{r}}{r !}+\frac{p^{r-1}}{(r-1) !} \cdot \frac{q}{1}+\frac{p^{r-2}}{(r-2) !} \cdot \frac{q^{2}}{2 !}+\frac{p^{r-3}}{(r-3) !} \cdot \frac{q^{3}}{3 !}+\ldots \) to \( r+1 \) terms
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