Question 3
The function $f$ has the property that, for each real number $x,$ $$
f(x)+f(x-1)=x^2.
$$ If $f(19)=94,$ what is the remainder when $f(94)$ is divided by $1000?$
f(x)+f(x-1)=x^2.
$$ If $f(19)=94,$ what is the remainder when $f(94)$ is divided by $1000?$