Question

prove that 2^n+2^ (n-1)/2^(n+1)-2^n=3/2.

Answer 1

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

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

$\frac{(1+ \frac{1}{2} ) }{( 1)}$

$\frac{3}{2}$