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

If `f:RtoR` satisfies `f(x+y)=f(x)+f(y),` for all real `x,y and f(1)=m.` then: `sum_(r=1)^(n)f(r)=`

A

`(mn)/(2)`

B

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

C

`mn(n+1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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