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Functions question

2003 · Shift 0 · Q68

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PYQ Library
JEE Main
Mathematics
Functions
2003 · Shift 0 · Q68

Functions question

2003 · Shift 0 · Q68

JEE MainMathematicsFunctionsMCQ+4 / −1

If

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)}

is

A
${{7n\left( {n + 1} \right)} \over 2}$
B
${{7n} \over 2}$
C
${{7\left( {n + 1} \right)} \over 2}$
D
$7n + \left( {n + 1} \right)$

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