The coefficient of \[{{x}^{n}}\] in the expansion of \[\frac{{{e}^{7x}}+{{e}^{x}}}{{{e}^{3x}}}\] is [MP PET 1999]

\[\frac{{{4}^{n-1}}+{{(-2)}^{n}}}{n\,!}\]

\[\frac{{{4}^{n-1}}+{{2}^{n}}}{n\,!}\]

\[\frac{{{4}^{n-1}}+{{(-2)}^{n-1}}}{n\,!}\]

\[\frac{{{4}^{n}}+{{(-2)}^{n}}}{n\,!}\]

The coefficient of \[{{x}^{n}}\] in the expansion of \[\frac{{{e}^{7x}

1.	The coefficient of \[{{x}^{n}}\] in the expansion of \[\frac{{{e}^{7x}}+{{e}^{x}}}{{{e}^{3x}}}\] is [MP PET 1999]
A.	\[\frac{{{4}^{n-1}}+{{(-2)}^{n}}}{n\,!}\]
B.	\[\frac{{{4}^{n-1}}+{{2}^{n}}}{n\,!}\]
C.	\[\frac{{{4}^{n-1}}+{{(-2)}^{n-1}}}{n\,!}\]
D.	\[\frac{{{4}^{n}}+{{(-2)}^{n}}}{n\,!}\]
Answer» E.

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The coefficient of \[{{x}^{n}}\] in the expansion of \[\frac{{{e}^{7x}}+{{e}^{x}}}{{{e}^{3x}}}\] is [MP PET 1999]

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