## Task B-4.1.

For real numbers $x$ and $y, x<y$, the following holds:

$$
\begin{aligned}
& x^{3}+y^{3}=65 \\
& 2^{x+y}+2^{x+y+1}+2^{x+y+2}=224
\end{aligned}
$$

Let $y$ be the first, and $x$ the second term of a geometric sequence. What is the sum of this sequence?