Let f: N \rightarrow N be a function such that f(x+y)=f(x)+f(y)+x y for every x, y \in N. If f(1)=2, then \sum_{k=0}^{10} f(k)= [AP EAPCET 22 May 2025 S1]

AP EAPCET 22 May 2025 Shift 1 Paper

Section: Mathematics

Question : 1 of 160

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Let f:N⟶N be a function such that f(x+y)=f(x)+f(y)+xy for every x,y∈N. If f(1)=2, then

∑

k=0

f(k)=

[AP EAPCET 22 May 2025 S1]

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