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Functions question

2020 · 2 Sep · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Functions
2020 · 2 Sep · Shift 2 · Q24

Functions question

2020 · 2 Sep · Shift 2 · Q24

JEE MainMathematicsFunctionsMCQ+4 / −1

Let f : R

\to

R be a function which satisfies f(x + y) = f(x) + f(y)

\forall

x, y

\in

R. If f(1) = 2 and g(n) =

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

, n

\in

N then the value of n, for which g(n) = 20, is :

A
20
B
9
C
5
D
4

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