If f(x) satisfies the relation f(x+ y) ...

If f(x) satisfies the relation `f(x+ y) = f ( x) + f( y ) ` for all x, `y in `R and f(1) = 5 then

A

`f(x)` is an odd function

B

`f(x)` is an even function

C

`sum_(r=1)^(m) f(r)=5^(m+1)C_(2)`

D

`sum_(r=1)^(m) f(r)=(5m(m+2))/(3)`

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The correct Answer is:

A, C

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