1.

The sum of the first n terms of the series \(\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{{15}}{{16}} + \ldots \) is equal to

A. \({{\rm{2}}^{\rm{n}}}{\rm{-\;n - 1}}\)
B. \({\rm{1-}}\;{{\rm{2}}^{{\rm{ - n}}}}\)
C. \({{\rm{2}}^{{\rm{ - n}}}}{\rm{ + \;n - 1}}\)
D. \({{\rm{2}}^{\rm{n}}}{\rm{ - 1}}\)
Answer» D. \({{\rm{2}}^{\rm{n}}}{\rm{ - 1}}\)


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