If f:R to R satisfies f(x+y)=f(x)+f(y),...

If `f:R to 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)` is

A

`(7n)/(2)`

B

`(7(n+1))/(2)`

C

`7n(n+1)`

D

`(7n(n+1))/(2)`

Verified by Experts

The correct Answer is:

D

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