If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+....+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+2{{C}_{1}}+3{{C}_{2}}+....+(n+1){{C}_{n}}\]will be [MP PET 1996; RPET 1997; DCE 1995; AMU 1995; EAMCET 2001; IIT 1971]

If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+....+{{C}_{

1.	If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+....+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+2{{C}_{1}}+3{{C}_{2}}+....+(n+1){{C}_{n}}\]will be [MP PET 1996; RPET 1997; DCE 1995; AMU 1995; EAMCET 2001; IIT 1971]
A.	\[(n+2){{2}^{n-1}}\]
B.	\[(n+1){{2}^{n}}\]
C.	\[(n+1){{2}^{n-1}}\]
D.	\[(n+2){{2}^{n}}\]
Answer» B. \[(n+1){{2}^{n}}\]

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If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+....+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+2{{C}_{1}}+3{{C}_{2}}+....+(n+1){{C}_{n}}\]will be [MP PET 1996; RPET 1997; DCE 1995; AMU 1995; EAMCET 2001; IIT 1971]

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