Let a,b,c ∊ R.If f(x)=ax^2+bx+c is such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy,\forall x,y∊R,then \sum^{10}_{n=1}f(n) is equal to : [Main 2017]

JEE Main 2017 Solved Paper Solved Paper

Section: Mathematics

Question : 41 of 90

Marks: +1, -0

Let a,b,c ∊ R.If f(x)=ax2+bx+c is such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy,∀x,y∊R,then

∑

n=1

f(n) is equal to :

[Main 2017]

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