The value of 2^n - 1 - 2^n2^n + 4 + 2^n + 1 is = ?

Answer: Option A

$$\begin{array}{rl}& \frac{2^{n-1}-2^n}{2^{n+4}+2^{n+1}}\\ & =\frac{2^{n-1}\left(1-2\right)}{2^{n+1}\left(2^3+1\right)}\\ & =\left(-\frac{1}{9}\right).2^{\left(n-1\right)-\left(n+1\right)}\\ & =\left(-\frac{1}{9}\right).2^{-2}\\ & =\left(-\frac{1}{9}\right).\frac{1}{2^2}\\ & =\left(-\frac{1}{9}\right)\times \frac{1}{4}\\ & =-\frac{1}{36}\end{array}$$