1.

The coefficient of \[{{x}^{n}}\] in the expansion of \[\frac{1}{(1-x)(3-x)}\] is

A. \[\frac{{{3}^{n+1}}-1}{{{2.3}^{n+1}}}\]
B. \[\frac{{{3}^{n+1}}-1}{{{3}^{n+1}}}\]
C. \[\left( \frac{{{3}^{n+1}}-1}{{{3}^{n+1}}} \right)\]
D. None of these
Answer» B. \[\frac{{{3}^{n+1}}-1}{{{3}^{n+1}}}\]


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