JEE MATHEMATICS MCQ: FUNCTIONS

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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_{r=1}^n f(r)

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because the sum of the function values from 1 to n is a multiple of 7 times the sum of the first n natural numbers.

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