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If f:RtoR satisfies f(x+y)=f(x)+f(y) for...

If `f:RtoR` satisfies `f(x+y)=f(x)+f(y)` for all `x,yinRandf(1)=7`, then `sum_(r=1)^(n)f(r)` is :

A

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

B

`-(7 n)/(2)`

C

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

D

`7 n(n+1)`

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The correct Answer is:
A
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