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

If `f: R rarr R ` satisfies `f(x+y) = f (x) + f(y)` for all `x,y in R and f(1) = 7 ` the `sum_(r=1)^(n) f(r) ` is equal to

A

`(7n)/2`

B

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

C

`7n(n+1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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