Find the sum of following series: (i) \( \sum_{r=0}^{n}{ }^{n} C_{r}(-1)^{r}\left(\frac{1}{2^{r}...

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Find the sum of following series:
(i) \( \sum_{r=0}^{n}{ }^{n} C_{r}(-1)^{r}\left(\frac{1}{2^{r}}+\frac{1}{3^{r}}+\frac{1}{4^{r}}\right) \)
(ii) \( \sum_{r=0}^{n}{ }^{n} C_{r}(-1)^{r}\left(\frac{1}{2^{r}}+\frac{3^{r}}{2^{2 r}}+\frac{7^{r}}{2^{3 r}}+\frac{15^{r}}{2^{4 r}}+\ldots\right. \) upto \( m \) terms \( ) \)
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