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Find the sum 2..^(10)C(0) + (2^(2))/(...

Find the sum
`2..^(10)C_(0) + (2^(2))/(2).^(10)C_(1) + (2^(3))/(3).^(10)C_(2)+(2^(4))/(4).^(10)C_(3)+"...."+(2^(11))/(11).^(10)C_(10)`.

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AI Generated Solution

To find the sum of the series \[ S = \sum_{r=0}^{10} \frac{2^{r+1}}{(r+1) \binom{10}{r}}, \] we can rewrite the series in a more manageable form. ...
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