4. The function $f(x)$ is such that for all values of $x$, the equality $f(x+1)-f(x)=x+1$ holds. It is known that $f(0)=4$. Find $f(62)$.

#
# Solution.

$$
f(62)-f(61)=61+1=62 \rightarrow f(62)-f(0)=31 * 63=1953
$$

Therefore, $f(62)=1957$.