JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

If the function

f: R \rightarrow R

satisfies

f(x+y)=f(x)+f(y), \forall \, x, y \in \mathrm{R}

and

f(1)=7

, then

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

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because the function f(r) equals 7r, and the sum of 7r from r=1 to n is

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

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