If f:R → R satisfies f (x + y) = f (x) + f (y), for all x, y R and f (1) = 7, then Σ r = 1 ⁿ f(r) is

Sets, Relations and Functions: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q3856

JEE Main 2003Annual, Paper 1MathematicsEasySets, Relations and Functions168× since 2002

f:R \to R

satisfies

f

(x + y) =

f

(x) +

f

(y), for all x, y

\in

R and

f

(1) = 7, then

\sum\limits_{r = 1}^n {f\left( r \right)}

JEE Main 2003 · Annual, Paper 1 · Q3856

JEE Main 2003Annual, Paper 1MathematicsEasySets, Relations and Functions168× since 2002

f:R \to R

satisfies

f

(x + y) =

f

(x) +

f

(y), for all x, y

\in

R and

f

(1) = 7, then

\sum\limits_{r = 1}^n {f\left( r \right)}