JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

f: R \rightarrow 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(r)

, is

View answer and explanation

Correct option: A

\frac{7 n(n+1)}{2}

Option A (

\frac{7 n(n+1)}{2}

) is correct because it correctly applies the properties of the function f(x) and the summation formula.

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