If f(x) is a function such that f(x+y) = f(x)+ f(y) and f(1)... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If f(x) is a function such that f(x+y) = f(x)+ f(y) and f(1) = 7 then $\sum_{r=1}^{n}$ f(r) =

A

$\frac{7n}{2}$

B

$\frac{7(n+1)}{2}$

C

7n(n+1)

D

$\frac{7n(n+1)}{2}$

Answer

$\frac{7n(n+1)}{2}$

Explanation

Solution

The correct option is: (D) $\frac{7n(n+1)}{2}$