Let `a,b,c in R`. If f(x)=`ax^2+bx+c` is such that a+b+c=3 `f(x+y)=f(x)+f(y)+xy AA x, y in R` then `sum_(n=1)^10 f(n)` is equal to

Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy, AA x,y in R, " then " sum_(n=1)^(10)f(n) is equal to

Let a,b,cR .If f(x)=ax^(2)+bx+c is such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy,AA x,yR, then sum_(n=1)^(10)f(n) is equal to 190(2)255(3)330(4) 165 165

Let a, b, c in R . If f (x) = ax^(2) + bx + c is such that a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, AA x, y in R, " then " sum_(n =1)^(10) f (n) is equal to

Let a,b,c in R. If f(x)=ax^(2)+bx+c is such that a +b+c=3. If f(x)=ax^(2)+bx+c is such f(x+y)=f(x)+f(y)+xy AA x,y in R then sum_(n=1)^(10)f(n) is equal to

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R

Let f be a function satisfying f(x+y)=f(x) *f(y) for all x,y, in R. If f (1) =3 then sum_(r=1)^(n) f (r) is equal to

If f:R rarr R be a function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y and f(2) = 4 then, f(1)-f(0) is equal to

Let a,b,c in R. If f(x)=ax^(2)+bx+c and a+b+c=3 and f(x+y)=f(x)+f(y)+xy then sum_(n=1)^(10)f(n) is

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

Let f:R rarr R^(*) be a derivable function such that f(x+y)=3f(x)f(y),AA x,y in R with f(1)=(2)/(3) ,then sum_(r=1)^(oo)(1)/(f(r)) is equal to