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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+1))/(2)`

B

`7n(n+1)`

C

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

D

`(7n)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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