## Task 13/82

By which function $y=f(x)$ are the terms of the sequence $\left\{y_{k}\right\}=\{3 ; 8 ; 13 ; 18 ; \ldots\}$ assigned to the terms of the sequence $\left\{x_{k}\right\}=\{2 ; 5 ; 8 ; 11 ; \ldots\}$?
It is $x_{k}=2+3(k-1)$ and $y_{k}=3+5(k-1)$. By eliminating the term number $k$, we obtain $5\left(x_{k}-2\right)=3\left(y_{k}-3\right)$, thus for each $k$

$$
y=\frac{5}{3} x-\frac{1}{3}=f(x)
$$