Question

The value of $\frac{2^n+2^{n-1}}{2^{n+1}-2^n}$ is equal to:

• A. $1.5$
• B. $\frac{2}{3}$
• C. $2$
• D. $4$

Answer 1

The correct option is A $1.5$

$\frac{2^n+2^{n-1}}{2^{n+1}-2^n}$

If we take $2^n$ common then

$\Rightarrow \frac{2^n(1+2^{-1})}{2^n(2^1-1)}$

$\Rightarrow \frac{1+\frac{1}{2}}{1}$

$\Rightarrow \frac{3}{2}=1.5$