The co-efficient of \[{{x}^{n}}\] in the expansion of\[\frac{{{e}^{7x}}+{{e}^{x}}}{{{e}^{3x}}}\] is

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

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

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

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

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

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

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The co-efficient of \[{{x}^{n}}\] in the expansion of\[\frac{{{e}^{7x}}+{{e}^{x}}}{{{e}^{3x}}}\] is

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