JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Let

f: R \rightarrow R

be a function which satisfies

f(x+y)=f(x)+f(y)

for all

x, y \in R

. If

f(1)=2

and

g(n)=\sum\limits_{k=1}^{n-1} f(k), n \in N

, then the value of

n

for which

g(n)=20

, is

View answer and explanation

Correct option: C

Option C (5) is correct because solving the summation and substituting into the given equation yields n=5.

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\frac{3}{4}