Question

Если x=
${2}^{n + 2} + {2}^{n}$
и y =
${2}^{n + 3} + {2}^{n+1}$
Найдите: у/х​

Answer 1

$\dfrac{y}{x} =\dfrac{2^{n+3}+2^{n+1}}{2^{n+2}+2^n} =\dfrac{2\cdot(2^{n+2}+2^n)}{2^{n+2}+2^n} =2$