The sum of the first \[n\] terms of the series \[\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+.........\] is [IIT 1988; MP PET 1996; RPET 1996, 2000; Pb. CET 1994; DCE 1995, 96]

The sum of the first \[n\] terms of the series \[\frac{1}{2}+\frac{3}{

1.	The sum of the first \[n\] terms of the series \[\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+.........\] is [IIT 1988; MP PET 1996; RPET 1996, 2000; Pb. CET 1994; DCE 1995, 96]
A.	\[{{2}^{n}}-n-1\]
B.	\[1-{{2}^{-n}}\]
C.	\[n+{{2}^{-n}}-1\]
D.	\[{{2}^{n}}-1\]
Answer» D. \[{{2}^{n}}-1\]

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The sum of the first \[n\] terms of the series \[\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+.........\] is [IIT 1988; MP PET 1996; RPET 1996, 2000; Pb. CET 1994; DCE 1995, 96]

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