1.

If \[f:R\to R\] satisfies \[f(x+y)=f(x)+f(y)\], for all \[x,\ y\in R\] and \[f(1)=7\], then \[\sum\limits_{r=1}^{n}{f(r)}\] is [AIEEE 2003]

A. \[\frac{7n}{2}\]
B. \[\frac{7(n+1)}{2}\]
C. \[7n(n+1)\]
D. \[\frac{7n(n+1)}{2}\]
Answer» E.


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