If f(x)=a x^{2}+b x+c for some a, b, c \in C with a+b+c=3 and {f}( {x}+ {y})= {f}( {x})+ {f}( {y})+ {xy} \forall {x}, {y} \in C. The \sum_{n=1}^{10} f( {n})=

AP EAPCET 04-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 11 of 160

Marks: +1, -0

If f(x)=ax2+bx+c for some a,b,c∈C with a+b+c=3 and f(x+y)=f(x)+f(y)+xy‌∀x,y∈C. The

∑

n=1

f(n)=

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