Question
If $f: R \rightarrow R$ satisfies $f(x+y)=f(x)+f(y)$, for all $x, y$ $\in R$ and $f(1)=7$, then $\sum_{r=1}^{n} f(r)$ is $|2003|$(A) $\frac{7 n}{2}$(B) $\frac{7(n+1)}{2}$(C) $7 n(n+1)$(D) $\frac{7 n(n+1)}{2}$
Step 1
Step 1: We are given that $f(x+y)=f(x)+f(y)$ for all $x, y$ in $R$ and $f(1)=7$. Show more…
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