If f:R to R is defined as f(x+y)=f(x)+f(...

If `f:R to R` is defined as `f(x+y)=f(x)+f(y) AA x,y in R` and `f(1) = 7`, find `sum_(r=1)^(n)f(r )`.

A

`(7n)/(2)`

B

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

C

`7n(n+1)`

D

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

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The correct Answer is:

D

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