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

If `f(x)` satisfies the relation `f(x+y)=f(x)+f(y)` for all `x , y in R` and `f(1)=5,t h e n` (a) `f(x)` is an odd function (b) `f(x)` is an even function (c) `sum_(r=1)^mf(r)=5^(m+1)C_2` (d) `sum_(r=1)^mf(r)=(5m(m+2))/3`

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