JEE Main 202324 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002Let f(x)f(x)f(x) be a function such that f(x+y)=f(x).f(y)f(x+y)=f(x).f(y)f(x+y)=f(x).f(y) for all x,y∈Nx,y\in \mathbb{N}x,y∈N. If f(1)=3f(1)=3f(1)=3 and ∑k=1nf(k)=3279\sum\limits_{k = 1}^n {f(k) = 3279}k=1∑nf(k)=3279, then the value of n isAOption A. 9BOption B. 7COption C. 6DOption D. 8CheckSkip · show solution
