Question

2^{n+3} +2^{n+2} +2^{n-1}

_____________________

     2^{n-2}+ 2^{n-1}

Answer 1

$\boxed{\frac{2^{n+3} +2^{n+2} +2^{n-1}}{2^{n-2}+ 2^{n-1}}=\frac{8.2^n+4.2^n+\frac{1}{2}.2^n}{\frac{1}{4}.2^n+\frac{1}{2}.2^n}=\frac{\frac{25}{2}.2^n}{\frac{3}{4}.2^n}=\frac{25}{2}.\frac{4}{3}=\frac{50}{3}}$