Question:
Evaluate $\frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}}$
Solution:
$\frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}}$
$=\frac{2^{n}\left(1+2^{-1}\right)}{2^{n}(2-1)}$
$=\frac{\left(1+\frac{1}{2}\right)}{1}$
$=\frac{2+1}{2}$
$=\frac{3}{2}$
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