Let $a$, b, c $ \in R$. If $f$(x) = ax2 + bx + c is such that $a$ + b + c = 3 and $f$(x + y) = $f$(x) + $f$(y) + xy, $\forall x,y \in R,$ then $\sum\limits_{n = 1}^{10} {f(n)} $ is equal to

Question

Let $a$, b, c $ \in R$. If $f$(x) = ax² + bx + c is such that
$a$ + b + c = 3 and $f$(x + y) = $f$(x) + $f$(y) + xy, $\forall x,y \in R,$

then $\sum\limits_{n = 1}^{10} {f(n)} $ is equal to